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Comment by petercooper
If you discount random experiments hosted on someone's laptop or something, there's probably something in La Paz, Bolivia which would get us to around 4000m elevation. Chile has a data center at 5000m elevation but it's for a supercomputer. Some Googling indicates China thought they were on to something with a data centre in Lhasa at around 3600m elevation: https://www.passionateinmarketing.com/china-to-build-the-wor...