diff --git a/.github/workflows/runtests.yml b/.github/workflows/runtests.yml
index d0fcd0c3..43196bd6 100644
--- a/.github/workflows/runtests.yml
+++ b/.github/workflows/runtests.yml
@@ -38,7 +38,7 @@ jobs:
           - '1.11-nightly'
           - 'nightly'
         os: ['ubuntu-latest']
-        cxxwrap: [ '' ]
+        cxxwrap: [ '0.14', '0.16' ]
 
       fail-fast: false
     # Service containers to run
@@ -101,9 +101,14 @@ jobs:
           - '1.11-nightly'
           - 'nightly'
         os: [ 'macos-14' ] # aarch64
+        cxxwrap: [ '' ]
         include:
           - os: 'macos-13' # x86_64
             julia-version: '1.6'
+            cxxwrap: ''
+          - os: 'macos-14' # x86_64
+            julia-version: '1.10'
+            cxxwrap: '0.14'
       fail-fast: false
 
     steps:
@@ -117,6 +122,9 @@ jobs:
           cache-name: julia-cache;workflow=${{ github.workflow }};julia=${{ matrix.julia-version }};arch=${{ runner.arch }}
           include-matrix: false
           cache-scratchspaces: false
+      - name: "pin CxxWrap"
+        if: matrix.cxxwrap != ''
+        run: julia --project -e 'using Pkg; pkg"add CxxWrap@${{ matrix.cxxwrap }}"; pkg"pin CxxWrap";'
       - uses: julia-actions/julia-runtest@v1
       - uses: julia-actions/julia-processcoverage@v1
       - uses: codecov/codecov-action@v4
diff --git a/Project.toml b/Project.toml
index afd142fb..7daa3d9b 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "Polymake"
 uuid = "d720cf60-89b5-51f5-aff5-213f193123e7"
 repo = "https://github.com/oscar-system/Polymake.jl.git"
-version = "0.11.21"
+version = "0.11.22"
 
 [deps]
 AbstractAlgebra = "c3fe647b-3220-5bb0-a1ea-a7954cac585d"
@@ -28,7 +28,7 @@ polymake_oscarnumber_jll = "10f31823-b687-53e6-9f29-edb9d4da9f9f"
 [compat]
 AbstractAlgebra = "~0.40.8, ~0.41, ~0.42, ~0.43"
 BinaryWrappers = "~0.1.0"
-CxxWrap = "~0.14"
+CxxWrap = "~0.14, ~0.16"
 Downloads = "^1.4"
 JSON = "^0.20, ^0.21"
 Libdl = "^1.6"
@@ -44,6 +44,6 @@ SparseArrays = "^1.6"
 TOPCOM_jll = "~0.17.8"
 julia = "^1.6"
 lib4ti2_jll = "^1.6.10"
-libpolymake_julia_jll = "~0.12.1"
+libpolymake_julia_jll = "~0.12.1, ~0.13.0"
 polymake_jll = "^400.1200.0"
 polymake_oscarnumber_jll = "~0.3.1"
diff --git a/src/Polymake.jl b/src/Polymake.jl
index 420b2b64..accac6bd 100644
--- a/src/Polymake.jl
+++ b/src/Polymake.jl
@@ -42,7 +42,7 @@ import TOPCOM_jll
 using libpolymake_julia_jll
 using polymake_oscarnumber_jll
 
-const jlpolymake_version_range = (v"0.12.0",  v"0.13")
+const jlpolymake_version_range = (v"0.12.0",  v"0.14")
 
 struct PolymakeError <: Exception
     msg