Biggest tire I can run on a 1964 plymouth valiant

stock wheels would have been 13” not sure what 15s you have but with proper spacing 275-60R 15 will fit,and not rub.Getting the right spacing is key.with a stock wheel you may well be limited to a much smaller tire .
Thank you. Yea. Meant to say i was gona get 15inch big bolt rims

Ive read that if your doing disc brakes in the rear, it allows a more room vs the big bolt drum brakes ?