Yes, you can use up to a 70A breaker using #10 wire if you wanted. I know you're probably raising an eyebrow right now, thinking "how is that safe/up to code? I thought you can only use a 30A breaker with #10." Here's why it's ok:
1. Yes, #10 wire can only safely carry roughly 30A. And your motor only pulls about 23A, according to the nameplate. So the wire can handle this motor no problem.
2. This is a dedicated circuit for this motor only. No other loads will be plugged into this circuit, potentially overloading it and causing more than 30A to go through the wire (unlike a regular receptacle branch circuit, where anyone can plug any combination of devices into receptacles, pulling who knows how much current)
3. If something went wrong with the motor where it's pulling more current than normal (For example, a bearing going bad that makes the motor more difficult to spin), the motor has a built-in thermal overload that will trip before anything bad happens.
4. If something happened to the wiring between the breaker panel and the motor and created a short circuit, even a 70A breaker would trip immediately (a dead short will create several hundred amps of current, much more than 70A).
The whole "#14 wire = 15A breaker, #12 wire = 20A breaker, #10 wire = 30A breaker" thing goes out the window when dealing with hardwired motor circuits. You'll probably want to use at least a 40A breaker to avoid nuisance tripping.