Unfortunately, if you've tapped it, then you've lost the center. A good approximation can be had this way:
Turn two buttons slightly smaller than 0.600 and with an ID that is a close fit over your thread.
Turn two more buttons with a diameter of: 0.600*(SQRT(2))-D1
Where D1 is the diameter of the first two buttons.
Screw everybody down then remove all but the two smaller buttons. Mount in a 4-jaw chuck. Indicate off each of the two smaller buttons in turn and bore the two remaining holes.
George.
Yes. But. You do get a tolerance stack up that way.