Neither ASME nor AWS (nor any other standard, API for example) will tell you haw many times you can weld on the same place in which a weld was removed, and bevelled and grinded again.
That depends on the WPS, or the specifications issued by the consulting engineer or engineering firm that designed the equipment, or your company's experience. Discuss the problem with your client or the engineering dept. of your own company.
A-516 Gr. 60 is a low carbon, non hardenable steel, which is an advantage. On the other hand, is a fine grain steel, which is a disadvantage, because several weldings done in the same place tend to increase the grain size of the heat affected zone.
To give a more detailed answer it would be very useful to know the service the plate will be submitted to.
Giovanni S. Crisi
Sao Paulo - Brazil