The stdlib doctest.DocTestSuite is broken in such a way that you can't

repeat tests.  Provide an environment variable to use the doctest from
zope.testing.

src/ZODB/tests/testDemoStorage.py

@@ -22,7 +22,12 @@ from ZODB.tests import (
     StorageTestBase,
     Synchronization,
     )
-import doctest
+
+import os
+if os.environ.get('USE_ZOPE_TESTING_DOCTEST'):
+    from zope.testing import doctest
+else:
+    import doctest
 import random
 import transaction
 import unittest