Hi vdao
I will answer the question from an ASME IX perspective. (Includes B31.3) A test piece of less than 1" OD qualifies from the diameter tested and up, so to weld 5/8" OD, the test piece needs to be 5/8" OD or smaller. The thickness qualified will be double the wall thickness, so to qualify 0.156" thickness, the test piece needs to be at least 0.078". (Although I would recommend going for as thick a pipe as you can get in that size.)
Regards
Niekie