It will be very difficult to find 13" wheels that will clear the ZX brakes. Keep that in mind.
Generally the smaller the wheel, the lighter it is. It has a smaller moment of inertia and allows the car to accelerate, brake, and change direction more easily. It also means that you need a taller tire to maintain the factory size. A taller tire means more sidewall flex, and is generally undesireable for performance. (to a point!)
The other reason to go with larger tires is so that you can package larger brakes inside of them. ie: trying to fit a 13" rotor in a 13" wheel isn't going to happen! But throw on 16" wheels, and all of a sudden you can run really big brakes.
To my eye, the Z always looked best with either 15" or 16" wheels on it. 14" seems too small, and needs too much sidewall for the right size for spirited street driving in my opinion.
If you are building a track car, things change a bit and often you can get away with a smaller diameter tire, so 13" & 14" becomes more of an option.