I have never had this happen, but I'd take a pic of your fingers and send them to D'Addario. Hey, maybe free strings?
It's possible you somehow got a set of the counterfeit ones. I've heard this is an issue with them.
I don’t know exactly why either, but some sets will leave your fingers black when new. The set I put on the Jaguar did it, but the red tele did not.
I get my strings direct from D’Addario so they are not counterfeit. Those were coming from some Amazon dealers I believe
Sheesh, read people...strings that come directly from the manufacturer are not counterfeit. I did some looking into it and as I suspected it is corrosion. I don't go through 11s very often, so it makes sense that the set I put on the Jag is older. I use 10s on all my 25.5" guitars so I never have them sit around for too long.