My 04 was weird with tire pressure sensors as well. I got a set of cloneable sensors and copied the original codes for them so I wouldn't have to reprogram anything for my second set of rims and initially it worked fine. Then a while later when I swapped the original wheels back on I would sometimes get a constant chime as soon as I started driving. Checked the pressures and everything was fine, and they were the factory sensors even. My factory ones finally gave up the ghost a little while ago so I bought a second set of clone sensors and programmed those as well and had similar issues from time to time. Finally just tried reprogramming the module in the car since I have a DRB III and that seems like it has fixed the issue for the most part. One time the other day I had the constant chime again, but that's the only time it has done it in probably a few years since the reprogram.