The quickest means of getting a working instance of Supergiant is to sign up for the hosted beta.
Once Supergiant is running, link a cloud account and create a kube of version 1.10 on any cloud!
Note: If any problems occur running Supergiant or creating a kube, please feel welcome to submit an issue on GitHub.
At Supergiant, we used the browser-based Heptio Sonobuoy Scanner (the "No RBAC" or ?rbac=no option). It's a stress-free shell for the official Kubernetes conformance tests to run in. Alternatively, there are more hands-on methods, such as running the conformance tests raw.
After the tests are completed, the results can be downloaded and perused.