No offense, but I think you played the hand terribly.
With the preflop betting, I had to look up to see if this was a "Limit" tournament. Your minimum Re-raise with 6 people still to act, (plus the initial raiser), you're playing with fire as far as AA is concerned.
You are just giving the players still to act better odds
to see the flop with moderate holdings. When the player Re-raises both of you, this was a 2nd chance to correct your error, but you min raised again when you should have pushed.
With two players already showing attachment to their holdings, you should have pushed hoping for at least one of the two to call knowing you have the best hand. If you push and they fold, the pot is big enough to be happy with and move on to the next hand.
Post flop you were put to a decision because of your mistakes made Preflop. You thought the fold was correct and a lot of the time, you would be right, so I have no problem with the fold even if it turned out you had the best hand as it turned out. Being able to fold Aces is important and a player just folds and doesn't tell anyone, it's no different that folding 2 7. Don't let other players know you made a big lay down because you just showed them that you can be pushed off of a big hand. It can come back to haunt you more than it will help you IMO down the road.
You put yourself in a situation where you were put to the decision. You always want to be the person forcing the other players to make the tough decisions and hopefully get them to make the errors. If you pushed PF, they have to decide what to do and the Post Flop decision becomes Null and Void as it should have been.
Just my thoughts....