In reply to SoftwareMaster123:
Probably doesn't help that you're most likely doing this without warming up ... it's always seemed to me the problem with a quick set of pullups as part of daily life. It's probably ok if they're really sub-maximal, but for most people sets of 10+ pullups are close to max effort.
Anyway, you need to stop for a couple of weeks and let the tendons etc recover and any swelling go down. Otherwise it will likely get worse. Ibuprofen might be worthwhile as an anti-inflammatory for a couple of days since the pains are persisting when not exercising (notwithstanding a lot of recent discussion / controversy on the subject ...).
Then you could try to build back slowly with assisted pullups with one foot on a chair or something. This is probably a good idea as a warmup set anyhow; most weightlifters do a lighter set or two before the main work sets. Also you should probably not do more than 2 days in a row without a day off the pullups for recovery.
Sorry waffled on a bit there!