2244

Events

One of the Human males examined by Dr. McCoy in the Omicron colony was born in this year. (TOS: "This Side of Paradise")
Straal and Paul Stamets begin working together. (DIS: "Context Is for Kings")

Doctor Elizabeth Dehner's medical records viewed in 2265 give Dehner's age as 21, suggesting she was born in 2244. However, it is unclear whether those records were up-to-date or whether they were from her last medical examination. In any event, she was born in the city of Delman. (TOS: "Where No Man Has Gone Before")
The Star Trek Encyclopedia, 4th ed., vol. 1, A-L, p. 349 places the event of James T. Kirk crashing his stepfather's Corvette in this year.