Just to add to this whole discussion, since you also have a top853, I just received mine in the mail today. I had another usb programmer that would program some newer eproms but since the vpp wouldn't go above 12 volts, was unable to program the many eproms I needed for older arcade game pcb's which use 2516's and 2716's. After reading this article last week, I purchased a Top853 and received it in the mail today, and decided to give a go at a eprom I needed for an Asteroids Deluxe pcb.
Believe it or not, I just burned a tms2516jl-45 with the top853, with it set to MSM2716-25v it programmed, verified, then I checked it multiple times again and was correct. I was under the impression that 2516's couldn't be burned with this device but it seems they can after all. Still somewhat new to programming eproms, but I have thousands of vintage arcade pcbs waiting to be brought back to life =D