diff --git a/auditwheel/policy/__init__.py b/auditwheel/policy/__init__.py
index d4ef8a52..786d0bc3 100644
--- a/auditwheel/policy/__init__.py
+++ b/auditwheel/policy/__init__.py
@@ -17,8 +17,10 @@
 _PLATFORM_REPLACEMENT_MAP = {
     'manylinux1_x86_64': ['linux_x86_64'],
     'manylinux2010_x86_64': ['linux_x86_64'],
+    'manylinux2014_x86_64': ['linux_x86_64'],
     'manylinux1_i686': ['linux_i686'],
     'manylinux2010_i686': ['linux_i686'],
+    'manylinux2014_i686': ['linux_i686'],
 }
 
 
diff --git a/auditwheel/policy/policy.json b/auditwheel/policy/policy.json
index 9526ccec..1528d687 100644
--- a/auditwheel/policy/policy.json
+++ b/auditwheel/policy/policy.json
@@ -40,6 +40,32 @@
          "GCC": ["3.0", "3.3", "3.3.1", "3.4", "3.4.2", "3.4.4", "4.0.0",
                  "4.2.0", "4.3.0", "4.4.0", "4.5.0"]
      },
+     "lib_whitelist": [
+         "libgcc_s.so.1",
+         "libstdc++.so.6",
+         "libm.so.6", "libdl.so.2", "librt.so.1",
+         "libc.so.6", "libnsl.so.1", "libutil.so.1", "libpthread.so.0",
+         "libX11.so.6", "libXext.so.6", "libXrender.so.1", "libICE.so.6",
+         "libSM.so.6", "libGL.so.1", "libgobject-2.0.so.0",
+         "libgthread-2.0.so.0", "libglib-2.0.so.0", "libresolv.so.2"
+     ]},
+    {"name": "manylinux2014",
+     "priority": 80,
+     "symbol_versions": {
+         "GLIBC": ["2.0", "2.1", "2.1.1", "2.1.2", "2.1.3", "2.2", "2.2.1",
+                   "2.2.2", "2.2.3", "2.2.4", "2.2.5", "2.2.6", "2.3", "2.3.2",
+                   "2.3.3", "2.3.4", "2.4", "2.5", "2.6", "2.7", "2.8", "2.9",
+                   "2.10", "2.11", "2.12", "2.13", "2.14", "2.15", "2.16",
+                   "2.17"],
+         "CXXABI": ["1.3", "1.3.1", "1.3.2", "1.3.3", "1.3.4", "1.3.5",
+                    "1.3.6", "1.3.7", "TM_1"],
+         "GLIBCXX": ["3.4", "3.4.1", "3.4.2", "3.4.3", "3.4.4", "3.4.5",
+                     "3.4.6", "3.4.7", "3.4.8", "3.4.9", "3.4.10", "3.4.11",
+                     "3.4.12", "3.4.13", "3.4.14", "3.4.15", "3.4.16",
+                     "3.4.17", "3.4.18", "3.4.19"],
+         "GCC": ["3.0", "3.3", "3.3.1", "3.4", "3.4.2", "3.4.4", "4.0.0",
+                 "4.2.0", "4.3.0", "4.4.0", "4.5.0", "4.7.0", "4.8.0"]
+     },
      "lib_whitelist": [
          "libgcc_s.so.1",
          "libstdc++.so.6",
diff --git a/scripts/calculate_symbol_versions.py b/scripts/calculate_symbol_versions.py
index 6b33e241..7020573c 100644
--- a/scripts/calculate_symbol_versions.py
+++ b/scripts/calculate_symbol_versions.py
@@ -41,7 +41,12 @@ def find_library(library):
 
 
 def versionify(version_string):
-    return [int(n) for n in version_string.split('.')]
+    try:
+        result = [int(n) for n in version_string.split('.')]
+        assert len(result) <= 3
+    except ValueError:
+        result = [999999, 999999, 999999, version_string]
+    return result
 
 
 def calculate_symbol_versions(libraries, symbol_versions, arch):