363 is actual displacement of a 370 on it's first bore (78mm bore on a +4 crank). It's just a play on numbers. Kind of like how a stock R engine on its first bore is 246cc actual, yet is called a 250.
I have an ESR 78mm top end on a stock crank. Actual displacement is 344cc, but it's referred to as a 350
I'm not sure there is a straight big bore that can get you to 370cc or thereabouts. As far as I am aware, 350 (344 actual) is as big as you can make an R engine with stock stroke (on first bore anyway). 370's require a stroker crank, +4mm. Unless something has changed