3/0 gauge
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AWG # 14 is the smallest wire you can install in a home and it can only be used in living areas. It will carry 15 amps.
At the service entrance you will need AWG 1/0 gauge.
140 AMPS
As a service entrance wire you need AWG # 3/0 gauge copper.
30 amps is how much a 10-2 wire will carry at 110 feet. 10 gauge wire is only good for thirty amps per the national electrical code. Using 80% of the breakers usage you will actually be getting only 24 amps.