Yes, a #10 wire will carry 30 amps for 30 feet. If the load is rated as continuous then the wire will have to be derated to 80% capacity which will leave you with 24 workable amps. If the load demands currents higher that 24 amps then you will have to go to the next wire size up which is a #8 which is rated at 45 amps.
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AWG 10.
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.
6 AWG.
10 amps