Update:
I successfully ripped the 63-track CD using CDRWIN, so my computer, my CD drive, and the CD itself are all working fine. Of course, it's still possible that one of these three is somehow incompatible with ImgBurn. The ripped image is working perfectly.
I successfully ripped a single-track data CD using ImgBurn 2.5.1.0. The problem appears to be with its handling multi-track discs and/or discs with audio. You (author) know much more about this than I do, so I will refrain from further speculation.