Wire size is determined by the Amperage, not the Voltage. As long as the wire is rated for the number of Amps the new TM draws at max - you shouldn't need to run new wire at all.
If you're running 12v batteries, just hook them together in series in the battery compartment and then the single pair of wires carry the full load to the TM.
Don't forget a fuse or circuit breaker - as close to the batteries as possible...not at the TM end.