Troubleshooting Distributed Cache for SharePoint 2016 On Premises
2016 still makes use of the same AppFabric version as 2013, but of course there have been some changes, we added several new caches and we have the new MinRole setup.
Original 2013 script (also works on 2016):
All the rules still apply (to my knowledge) as in configuration, best practices and so on, so you can reuse the other posts:
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Small post on how to interpret the output you can find here:
Recommendations post:
Tools:
Feel free to request extra functionality, report issues running the script and what not.