"Florida man accidentally time travels back to 1077 to try to make some cash on early Apple Computer investment, presumed living among native Americans now"

If you set a timelock by a timestamp lock_time [2], then the latest possible time is Tuesday 2038-01-19 [2].

[1] https://en.bitcoin.it/wiki/Protocol_documentation#tx

[2] https://en.wikipedia.org/wiki/Unix_time#Representing_the_num...