winchester beat you to it by about 70 years. Try .243 Win, the original 6mm-08I think it would be better suited to step up to a 6mm bullet and push it almost as fast. I believe this would be the best of both worlds as in speed and energy retention and super accurate bullets.
It's all been done, but not for long.
So it's a 5.6x61 Vom Hofe SE with the grooves moved down to American .224" diameter vs European .228" diameter? Huntington still sells 5.6x61 Vom Hofe SE dies under special order group G - http://www.huntingtons.com/store/product.php?productid=19469. Unfortunately, .227/.228 bullets are pretty much non-existent with Hornady listing their one .227 bullet - intended for the .22 Savage High Power - as "Temporarily Suspended", and no other maker offering .227" or .228" bullets.224TTH is the closest thing with any sort of "availability" and with its 7x57 parent case fits right in the middle of 308 and 06 based wildcats