NEC Section 310.4 requires a 1/0 AWG and larger be used in parallel.
1/0 wire
Most lamp wire is parallel #16 conductors.
I think you mean either what is the correct size or minimum wire size needed when a branch circuit is protected by a 20 A breaker. The size is 12 American Wire gauge (AWG). 14 AWG is used for 15 A circuit and 10 AWG for a 30 A breaker. The lower the gauge the larger the cross-section of the wire.
It depends on the length of the run
To calculate the wire size you would have to find the amperage. I = W/E, 70000/240 = 291.67 amps. The wire size according to code has to be up sized to 125%. 291.67 x 125% = 364.6. 500MCM copper wire with an insulation factor of 75 and 90 degrees C is rated at 380 and 395 amps respectively. If parallel conductors were used the wire size for 75 degree wire would be 3/0 rated at 200 amps. Parallel conductors for 90 degree wire would be 2/0 rated at 185 amps.
1/0 wire
1/0 wire
In the CEC only 1/0 and larger conductors can be run in parallel.
Most lamp wire is parallel #16 conductors.
14 AWG
According to the 2008 National Electrical Code, the smallest wire that can be run in parallel is a 1/0 AWG (American Wire Gauge). If the wire you are using is smaller than a 1/0 AWG, you will need to increase the size of the wire to handle the amperage (Table 310.16 of the NEC).
The minimum size wire that can be paralleled together stated in the electrical code book is a #3 copper conductor.
I think you mean either what is the correct size or minimum wire size needed when a branch circuit is protected by a 20 A breaker. The size is 12 American Wire gauge (AWG). 14 AWG is used for 15 A circuit and 10 AWG for a 30 A breaker. The lower the gauge the larger the cross-section of the wire.
When you talk of voltage, you should be thinking of the insulation factor of the wire. By the same token when you talk of wire size, it is based on the amperage the wire is required to handle.
It depends on the length of the run
To do so LEGALLY, the circuit breaker must not be rated at a capacity (in AMPS) greater than the SMALLEST wire.
It should be on a 20 amp breaker with #12 THHN wire. The grounding wire is typically permitted to be one size smaller, so #14 AWG bare or green wire for ground.