(although this is a little loose, since a Honda GP 6-cylinder 250cc engine, with a 0.020" overbore might be, say... 270cc's) up to 350.000cc's (except that a Honda 6-cylinder GP 350cc bike with a 0.020" overbore might be, say...375cc's)
Those little 6 cylinder Honda's had a bore & stroke of 39mm x 34.5mm. Since they are not pre '55, the most they could bore it out to is 39.5mm. Calculating that out, the max displacement is 253.7cc's. That's a little less than 1 1/2%, not too big of a jump. A 350 would see even less of a percentage increase. So even on a multi-cylinder, tiny piston engine, the over-bore isn't very drastic. On my 500 vintage, even a .050" oversize bore amounts to less than 14cc's. But I'm only at .010" over, which makes it 503cc's.
Still too slow.....
matt