As chance will have it, I have a pocket 6's story as well!
It's several years back; I think I've played poker for a couple years, but basically only tournaments. This was one of my few live cash game sessions though.
So, I was dealt pocket 6's in the BB, and UTG announces and makes a blind min-raise, i.e. without looking at his cards. There are like 3-4 callers, and for some reason I fold! I actually don't know why, but I passed on this obvious set-mining call. The flop comes A6x, and I double facepalm myself, realizing I just made a horrible blunder. They proceed to check it down until the river, which brings a 2nd Ace. UTG says he has to bet now, and does. Everybody folds, and he shows A6! This made a full house for the guy, but would have given me an inferior full house! My horrible blunder ironically ended up saving me a ton of money. The dude on my left obviously would have stacked me had I not mucked my cards pre, and he would have won all my money.
Interesting, right? What is your most memorable poker hand?