diff --git a/models/openai/gpt-5.6-luna-subscription.yaml b/models/openai/gpt-5.6-luna-subscription.yaml
new file mode 100644
index 0000000..6ec6d7f
--- /dev/null
+++ b/models/openai/gpt-5.6-luna-subscription.yaml
@@ -0,0 +1,38 @@
+# yaml-language-server: $schema=https://modelparams.dev/api/v1/schema.json
+provider: openai
+authType: subscription
+model: gpt-5.6-luna
+params:
+  - path: reasoning.effort
+    type: enum
+    label: Reasoning effort
+    description: Controls how much reasoning the model should perform before producing an answer.
+    default: medium
+    values:
+      - none
+      - low
+      - medium
+      - high
+      - xhigh
+      - max
+    group: reasoning
+  - path: reasoning.summary
+    type: enum
+    label: Reasoning summary
+    description: Controls the level of reasoning summary returned with the response.
+    default: auto
+    values:
+      - auto
+      - concise
+      - detailed
+    group: reasoning
+  - path: text.verbosity
+    type: enum
+    label: Verbosity
+    description: Controls how concise or detailed the model's final text response should be.
+    default: medium
+    values:
+      - low
+      - medium
+      - high
+    group: output_format
diff --git a/models/openai/gpt-5.6-sol-subscription.yaml b/models/openai/gpt-5.6-sol-subscription.yaml
new file mode 100644
index 0000000..24e35c4
--- /dev/null
+++ b/models/openai/gpt-5.6-sol-subscription.yaml
@@ -0,0 +1,38 @@
+# yaml-language-server: $schema=https://modelparams.dev/api/v1/schema.json
+provider: openai
+authType: subscription
+model: gpt-5.6-sol
+params:
+  - path: reasoning.effort
+    type: enum
+    label: Reasoning effort
+    description: Controls how much reasoning the model should perform before producing an answer.
+    default: medium
+    values:
+      - none
+      - low
+      - medium
+      - high
+      - xhigh
+      - max
+    group: reasoning
+  - path: reasoning.summary
+    type: enum
+    label: Reasoning summary
+    description: Controls the level of reasoning summary returned with the response.
+    default: auto
+    values:
+      - auto
+      - concise
+      - detailed
+    group: reasoning
+  - path: text.verbosity
+    type: enum
+    label: Verbosity
+    description: Controls how concise or detailed the model's final text response should be.
+    default: medium
+    values:
+      - low
+      - medium
+      - high
+    group: output_format
diff --git a/models/openai/gpt-5.6-terra-subscription.yaml b/models/openai/gpt-5.6-terra-subscription.yaml
new file mode 100644
index 0000000..fb815cd
--- /dev/null
+++ b/models/openai/gpt-5.6-terra-subscription.yaml
@@ -0,0 +1,38 @@
+# yaml-language-server: $schema=https://modelparams.dev/api/v1/schema.json
+provider: openai
+authType: subscription
+model: gpt-5.6-terra
+params:
+  - path: reasoning.effort
+    type: enum
+    label: Reasoning effort
+    description: Controls how much reasoning the model should perform before producing an answer.
+    default: medium
+    values:
+      - none
+      - low
+      - medium
+      - high
+      - xhigh
+      - max
+    group: reasoning
+  - path: reasoning.summary
+    type: enum
+    label: Reasoning summary
+    description: Controls the level of reasoning summary returned with the response.
+    default: auto
+    values:
+      - auto
+      - concise
+      - detailed
+    group: reasoning
+  - path: text.verbosity
+    type: enum
+    label: Verbosity
+    description: Controls how concise or detailed the model's final text response should be.
+    default: medium
+    values:
+      - low
+      - medium
+      - high
+    group: output_format
diff --git a/packages/modelparams/src/generated/data.ts b/packages/modelparams/src/generated/data.ts
index b247987..254e627 100644
--- a/packages/modelparams/src/generated/data.ts
+++ b/packages/modelparams/src/generated/data.ts
@@ -12881,6 +12881,55 @@ export const CATALOG = [
       }
     ]
   },
+  {
+    "provider": "openai",
+    "authType": "subscription",
+    "model": "gpt-5.6-luna",
+    "params": [
+      {
+        "path": "reasoning.effort",
+        "label": "Reasoning effort",
+        "description": "Controls how much reasoning the model should perform before producing an answer.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "none",
+          "low",
+          "medium",
+          "high",
+          "xhigh",
+          "max"
+        ]
+      },
+      {
+        "path": "reasoning.summary",
+        "label": "Reasoning summary",
+        "description": "Controls the level of reasoning summary returned with the response.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "auto",
+        "values": [
+          "auto",
+          "concise",
+          "detailed"
+        ]
+      },
+      {
+        "path": "text.verbosity",
+        "label": "Verbosity",
+        "description": "Controls how concise or detailed the model's final text response should be.",
+        "group": "output_format",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "low",
+          "medium",
+          "high"
+        ]
+      }
+    ]
+  },
   {
     "provider": "openai",
     "authType": "api_key",
@@ -12913,6 +12962,55 @@ export const CATALOG = [
       }
     ]
   },
+  {
+    "provider": "openai",
+    "authType": "subscription",
+    "model": "gpt-5.6-sol",
+    "params": [
+      {
+        "path": "reasoning.effort",
+        "label": "Reasoning effort",
+        "description": "Controls how much reasoning the model should perform before producing an answer.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "none",
+          "low",
+          "medium",
+          "high",
+          "xhigh",
+          "max"
+        ]
+      },
+      {
+        "path": "reasoning.summary",
+        "label": "Reasoning summary",
+        "description": "Controls the level of reasoning summary returned with the response.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "auto",
+        "values": [
+          "auto",
+          "concise",
+          "detailed"
+        ]
+      },
+      {
+        "path": "text.verbosity",
+        "label": "Verbosity",
+        "description": "Controls how concise or detailed the model's final text response should be.",
+        "group": "output_format",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "low",
+          "medium",
+          "high"
+        ]
+      }
+    ]
+  },
   {
     "provider": "openai",
     "authType": "api_key",
@@ -12945,6 +13043,55 @@ export const CATALOG = [
       }
     ]
   },
+  {
+    "provider": "openai",
+    "authType": "subscription",
+    "model": "gpt-5.6-terra",
+    "params": [
+      {
+        "path": "reasoning.effort",
+        "label": "Reasoning effort",
+        "description": "Controls how much reasoning the model should perform before producing an answer.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "none",
+          "low",
+          "medium",
+          "high",
+          "xhigh",
+          "max"
+        ]
+      },
+      {
+        "path": "reasoning.summary",
+        "label": "Reasoning summary",
+        "description": "Controls the level of reasoning summary returned with the response.",
+        "group": "reasoning",
+        "type": "enum",
+        "default": "auto",
+        "values": [
+          "auto",
+          "concise",
+          "detailed"
+        ]
+      },
+      {
+        "path": "text.verbosity",
+        "label": "Verbosity",
+        "description": "Controls how concise or detailed the model's final text response should be.",
+        "group": "output_format",
+        "type": "enum",
+        "default": "medium",
+        "values": [
+          "low",
+          "medium",
+          "high"
+        ]
+      }
+    ]
+  },
   {
     "provider": "openai",
     "authType": "api_key",
diff --git a/packages/modelparams/src/generated/defaults.ts b/packages/modelparams/src/generated/defaults.ts
index 86c3326..aa1704f 100644
--- a/packages/modelparams/src/generated/defaults.ts
+++ b/packages/modelparams/src/generated/defaults.ts
@@ -1033,14 +1033,29 @@ export const DEFAULTS = {
     max_completion_tokens: 4096,
     reasoning_effort: "none",
   },
+  "openai/gpt-5.6-luna-subscription": {
+    "reasoning.effort": "medium",
+    "reasoning.summary": "auto",
+    "text.verbosity": "medium",
+  },
   "openai/gpt-5.6-sol": {
     max_completion_tokens: 4096,
     reasoning_effort: "none",
   },
+  "openai/gpt-5.6-sol-subscription": {
+    "reasoning.effort": "medium",
+    "reasoning.summary": "auto",
+    "text.verbosity": "medium",
+  },
   "openai/gpt-5.6-terra": {
     max_completion_tokens: 4096,
     reasoning_effort: "none",
   },
+  "openai/gpt-5.6-terra-subscription": {
+    "reasoning.effort": "medium",
+    "reasoning.summary": "auto",
+    "text.verbosity": "medium",
+  },
   "openai/o1": {
     max_completion_tokens: 4096,
     reasoning_effort: "medium",
diff --git a/packages/modelparams/src/generated/model-ids.ts b/packages/modelparams/src/generated/model-ids.ts
index 24d35a5..975f57a 100644
--- a/packages/modelparams/src/generated/model-ids.ts
+++ b/packages/modelparams/src/generated/model-ids.ts
@@ -167,8 +167,11 @@ export const MODEL_IDS = [
   "openai/gpt-5.5-pro-subscription",
   "openai/gpt-5.5-subscription",
   "openai/gpt-5.6-luna",
+  "openai/gpt-5.6-luna-subscription",
   "openai/gpt-5.6-sol",
+  "openai/gpt-5.6-sol-subscription",
   "openai/gpt-5.6-terra",
+  "openai/gpt-5.6-terra-subscription",
   "openai/o1",
   "openai/o1-mini",
   "openai/o1-preview",
diff --git a/packages/modelparams/src/generated/params-by-id.ts b/packages/modelparams/src/generated/params-by-id.ts
index 673247a..cf1dfdc 100644
--- a/packages/modelparams/src/generated/params-by-id.ts
+++ b/packages/modelparams/src/generated/params-by-id.ts
@@ -1241,14 +1241,29 @@ export type ParamsById = {
     max_completion_tokens: number;
     reasoning_effort: "none" | "low" | "medium" | "high";
   };
+  "openai/gpt-5.6-luna-subscription": {
+    "reasoning.effort": "none" | "low" | "medium" | "high" | "xhigh" | "max";
+    "reasoning.summary": "auto" | "concise" | "detailed";
+    "text.verbosity": "low" | "medium" | "high";
+  };
   "openai/gpt-5.6-sol": {
     max_completion_tokens: number;
     reasoning_effort: "none" | "low" | "medium" | "high";
   };
+  "openai/gpt-5.6-sol-subscription": {
+    "reasoning.effort": "none" | "low" | "medium" | "high" | "xhigh" | "max";
+    "reasoning.summary": "auto" | "concise" | "detailed";
+    "text.verbosity": "low" | "medium" | "high";
+  };
   "openai/gpt-5.6-terra": {
     max_completion_tokens: number;
     reasoning_effort: "none" | "low" | "medium" | "high";
   };
+  "openai/gpt-5.6-terra-subscription": {
+    "reasoning.effort": "none" | "low" | "medium" | "high" | "xhigh" | "max";
+    "reasoning.summary": "auto" | "concise" | "detailed";
+    "text.verbosity": "low" | "medium" | "high";
+  };
   "openai/o1": {
     max_completion_tokens: number;
     reasoning_effort: "low" | "medium" | "high" | "xhigh";