It looks like a DDoS type issue or an intermittent connection issue.
I have a colleague at our remote location that I got to run the diagnostic tool on the Hamachi machines there and I did the same at my location. After some unsuccessful attempts, we managed to get all our machines connected via Hamachi.
Some connected quickly, others took 3 or 4 runs of the diagnostic tool. If you can get access to the machines via an alternative solution, running diagnostics may just get your Hamachi network back online.
Paul