Sounds like 350z offsets.
I suggest going with the standard tire sizing for those wheels, which is typically 245/35/19 front and 275/30/19 rear. You can move the sizing up if you want since the 370z has bigger wheel wells than the 350.
There are people here that run much larger sizing, even 275/35 front and 305/30 rear.
It's really up to you and what you're going for. Regardless of which size(s) you choose, please be sure to keep something around a 30mm bias (or a bit more) between the front/rear to make sure you don't have any issues with VDC.
Do some reading in the tires forum. Or, take it to a custom shop that knows what they're doing.
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