diff --git a/README.md b/README.md
index af20222..d35fcc7 100644
--- a/README.md
+++ b/README.md
@@ -24,7 +24,7 @@ Copier will prompt for:
 | `author_name` | Author full name | `Alex Shalaev` |
 | `author_email` | Author email | `you@example.com` |
 | `github_org` | GitHub org or username | `bedrock-python` |
-| `python_min_version` | Minimum Python version | `3.11` |
+| `python_min_version` | Minimum Python version, 3.10 to 3.14. The unit-test matrix and the classifiers run from it to the newest version (`python_max_version` in `copier.yml`) | `3.11` |
 | `initial_version` | Initial version | `0.0.0` |
 
 ## After generation
diff --git a/copier.yml b/copier.yml
index 95500bd..15b9300 100644
--- a/copier.yml
+++ b/copier.yml
@@ -29,10 +29,23 @@ github_org:
   help: "GitHub organization or username"
   default: "bedrock-python"
 
+# The newest Python a render declares and runs its unit tests on. Not asked:
+# raise it here once the libraries move to a new release.
+python_max_version:
+  type: str
+  default: "3.14"
+  when: false
+
 python_min_version:
   type: str
-  help: "Minimum Python version"
+  help: "Minimum Python version (3.10 to {{ python_max_version }})"
   default: "3.11"
+  validator: >-
+    {%- set minor = python_min_version.split(".")[-1] -%}
+    {%- if not python_min_version.startswith("3.") or not minor.isdigit()
+        or minor | int < 10 or minor | int > python_max_version.split(".")[-1] | int -%}
+    Use a 3.x version from 3.10 to {{ python_max_version }}
+    {%- endif -%}
 
 initial_version:
   type: str
diff --git a/template/.github/workflows/ci.yml.jinja b/template/.github/workflows/ci.yml.jinja
index cd15e68..9c79953 100644
--- a/template/.github/workflows/ci.yml.jinja
+++ b/template/.github/workflows/ci.yml.jinja
@@ -25,7 +25,7 @@ jobs:
     strategy:
       fail-fast: false
       matrix:
-        python-version: ["{{ python_min_version }}", "3.12", "3.13"]
+        python-version: [{% for minor in range(python_min_version.split(".")[1] | int, python_max_version.split(".")[1] | int + 1) %}"3.{{ minor }}"{{ ", " if not loop.last }}{% endfor %}]
     steps:
       - uses: actions/checkout@v7
       - uses: astral-sh/setup-uv@v7
@@ -34,7 +34,7 @@ jobs:
       - run: uv sync --group dev --all-extras
       - run: uv run pytest -m unit --cov={{ package_name }} --cov-report=xml --cov-fail-under=90
       - uses: codecov/codecov-action@v6
-        if: matrix.python-version == '3.12'
+        if: matrix.python-version == '{{ python_max_version }}'
         with:
           token: ${% raw %}{{ secrets.CODECOV_TOKEN }}{% endraw %}
           files: coverage.xml
diff --git a/template/pyproject.toml.jinja b/template/pyproject.toml.jinja
index 6e7be8c..0f8ca5f 100644
--- a/template/pyproject.toml.jinja
+++ b/template/pyproject.toml.jinja
@@ -12,7 +12,9 @@ classifiers = [
     "Intended Audience :: Developers",
     "License :: OSI Approved :: Apache Software License",
     "Programming Language :: Python :: 3",
-    "Programming Language :: Python :: {{ python_min_version }}",
+{%- for minor in range(python_min_version.split(".")[1] | int, python_max_version.split(".")[1] | int + 1) %}
+    "Programming Language :: Python :: 3.{{ minor }}",
+{%- endfor %}
     "Topic :: Software Development :: Libraries :: Python Modules",
     "Typing :: Typed",
 ]