Hi!
Sorry for bumping this OLD OLD topic, but I have the exact same problem on my 2013 Elantra.
I fixed it, tho. Believe it or not, it was an unsilenced USB Charger. If you have one, try disconnecting it for a few days to see if the problem is gone.
If it fixed your problem, go to Amazon and buy a name brand USB charger. Return if TPMS still lights up.
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