Sounds like a real problem. If your drive is exploding CDs the first thing would be to try to get another one under warranty.
If that isn’t possible then I suggest doing a good cleaning of the inside of the drive. There are lots of places that a small piece of something can cause problems. I don’t recomend pulling the whole drive apart, you should be able to get allot of stuff out by just opening the cover.
While your in there do a carefull visual inspection of any moving parts. Particularly the spindle that the CD rides on and the plate that holds it down.
It may not be too easy to see damage or clean the drive, but it can’t hurt to try.
The final alternative is of course replacement. You have been lucky that it is only busting CD-Rs.
That is really odd that only CD-Rs would break. It may be something wrong with the 24X burner, but I can’t imagine what. The CD reader is probably spinning allot faster than the 24X burner so if there is any damage done to the disk while in the CD-R drive it doesn’t show up until you put it in the CD reader.
You might try doing a carefull visual inspection with magafication of a couple disks before and after you put them into the CD-R drive. Pay attention to the center of the disk. A crack there would probably be more likely to spread.
Since you are apparently working from the same batch of disks there may have been some kind of manufacturing error on the disks.