I don't know what the biggest tire is, but I know that there are recommended fitment ranges for each size wheel.
You can use this page
Car Bibles : The Wheel and Tyre Bible Page 3 of 4 If you scroll down theres "An ideal rim-width calculator."
Sometimes I just refer to this one too, but keep in mind almost all of it is R888 Specific.
Toyo Proxes R888 Road-Race Tire