Remember the bigger the number the smaller the wire is
14ga 15amp breaker
12ga 20amp breaker
10ga 30amp breaker
These listing's are outlet and lighting
Not service figures
2ga carries more power than 4ga, 4 more than 6, 6 more than 8ga
For 30 amps 120v and 250ft I would not run anything smaller than 8ga , and would probably run 6ga if I expected to carry near 30amps full-time, Like electric heaters in the winter, it's not TV MW that are a problem it's turning on the coffee maker while running the A/C or electric heaters,