Is there any way I can obtain a .368 sizing die for my SAECO lubrasizer?

I have a .366 factory die. Iíve got a .367 and .368 push through, itís messy but works great on my 9.3. Life would be good if I could use my SAECO lubrasizer to size boolits to .368!

SAECO doesnít advertise the ability, but has anyone had luck that way?

Is there someone who could hone my .366 size out to .368, or have some ideas?
Shotgun