diff --git a/.github/workflows/pre-commit.yml b/.github/workflows/pre-commit.yml
deleted file mode 100644
index d939432..0000000
--- a/.github/workflows/pre-commit.yml
+++ /dev/null
@@ -1,24 +0,0 @@
-name: pre-commit
-
-on:
-  push:
-    branches:
-      - main
-  pull_request:
-
-jobs:
-  pre-commit:
-    runs-on: ubuntu-20.04
-
-    steps:
-      - uses: actions/checkout@v2
-        with:
-          fetch-depth: 0
-
-      - uses: actions/setup-python@v2
-        with:
-          python-version: 3.9
-
-      - uses: pre-commit/action@v2.0.0
-        with:
-          token: ${{ secrets.GITHUB_TOKEN }}
diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 5a3d042..8cbbff3 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -16,7 +16,6 @@ jobs:
           - ubuntu
           - windows
         python-version:
-        - "3.6"
         - "3.7"
         - "3.8"
         - "3.9"
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 5de3ae5..1367879 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -1,20 +1,20 @@
 repos:
   - repo: https://github.com/asottile/pyupgrade
-    rev: v2.11.0
+    rev: v2.32.1
     hooks:
       - id: pyupgrade
         args: [--py36-plus]
   - repo: https://github.com/psf/black
-    rev: 20.8b1
+    rev: 22.3.0
     hooks:
       - id: black
         language_version: python3
   - repo: https://github.com/pycqa/isort
-    rev: 5.8.0
+    rev: 5.10.1
     hooks:
       - id: isort
   - repo: https://github.com/PyCQA/flake8
-    rev: 3.9.0
+    rev: 4.0.1
     hooks:
       - id: flake8
         additional_dependencies:
diff --git a/CHANGELOG.txt b/CHANGELOG.txt
index 8463751..7e6a120 100644
--- a/CHANGELOG.txt
+++ b/CHANGELOG.txt
@@ -1,3 +1,16 @@
+Unreleased
+----------
+
+* Dropped support for Python 3.6.
+
+* Updated dependencies to the latest versions.
+
+  Previously a range of Twisted versions have been supported. Recent Twisted
+  releases (22.2, 22.4) have issued security fixes, so those are now the
+  minimum supported version. Given the stability of Twisted, supporting a
+  range of versions does not represent a good use of maintainer time. Going
+  forward the latest Twisted version will be required.
+
 3.0.2 (2021-04-07)
 ------------------
 
diff --git a/README.rst b/README.rst
index 7525b27..70c4ba5 100644
--- a/README.rst
+++ b/README.rst
@@ -108,7 +108,7 @@ should start with a slash, but not end with one; for example::
 Python Support
 --------------
 
-Daphne requires Python 3.6 or later.
+Daphne requires Python 3.7 or later.
 
 
 Contributing
diff --git a/setup.cfg b/setup.cfg
index ddb3d5d..e7c19e5 100644
--- a/setup.cfg
+++ b/setup.cfg
@@ -8,3 +8,4 @@ profile = black
 
 [tool:pytest]
 testpaths = tests
+asyncio_mode = strict
diff --git a/setup.py b/setup.py
index 214df0d..274e8f8 100755
--- a/setup.py
+++ b/setup.py
@@ -22,8 +22,8 @@ setup(
     package_dir={"twisted": "daphne/twisted"},
     packages=find_packages() + ["twisted.plugins"],
     include_package_data=True,
-    install_requires=["twisted[tls]>=19.7", "autobahn>=0.18", "asgiref>=3.2.10,<4"],
-    python_requires=">=3.6",
+    install_requires=["twisted[tls]>=22.4", "autobahn>=22.4.2", "asgiref>=3.5.2,<4"],
+    python_requires=">=3.7",
     setup_requires=["pytest-runner"],
     extras_require={"tests": ["hypothesis", "pytest", "pytest-asyncio"]},
     entry_points={
@@ -37,7 +37,6 @@ setup(
         "Operating System :: OS Independent",
         "Programming Language :: Python",
         "Programming Language :: Python :: 3",
-        "Programming Language :: Python :: 3.6",
         "Programming Language :: Python :: 3.7",
         "Programming Language :: Python :: 3.8",
         "Programming Language :: Python :: 3.9",
diff --git a/tests/test_http_response.py b/tests/test_http_response.py
index 0f42df2..1fc2439 100644
--- a/tests/test_http_response.py
+++ b/tests/test_http_response.py
@@ -13,11 +13,9 @@ class TestHTTPResponse(DaphneTestCase):
         Lowercases and sorts headers, and strips transfer-encoding ones.
         """
         return sorted(
-            [
-                (name.lower(), value.strip())
-                for name, value in headers
-                if name.lower() != b"transfer-encoding"
-            ]
+            (name.lower(), value.strip())
+            for name, value in headers
+            if name.lower() != b"transfer-encoding"
         )
 
     def encode_headers(self, headers):
diff --git a/tox.ini b/tox.ini
index da7d4d9..876ff99 100644
--- a/tox.ini
+++ b/tox.ini
@@ -1,12 +1,8 @@
 [tox]
 envlist =
-    py{36,37,38,39,310}-twisted{197,latest}
-
+    py{37,38,39,310}
 [testenv]
 usedevelop = true
 extras = tests
 commands =
     pytest -v {posargs}
-deps =
-    twisted187: twisted==19.7.0
-    twistedlatest: twisted>=20.3.0