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There are fifty-two cards in each deck. Of that, five (10, J , Q, K, A) are 10+ in value. With four suits that makes twenty 10+ value cards per deck. Six decks (total 312 cards) would contain one hundred-twenty Aces, faces, and tens. So, eighty-six 10+ value cards between shuffles is pretty low (it should average ~one hundred-two based on where the burner is placed. If you counted eighty-six 10+ value cards dealt out of the shoe you observed, of the ~eighty total cards which will not be dealt (average burner card location is ~80), thirty-four are 10+ value cards. It is possible for this to occur in a single shoe.
That would be a huge advantage to the dealer. The more 10+ value cards dealt, the more chance for the dealer to bust in an honest blackjack game. However, the results from a single shoe are not statistically significant, but we would probably agree the results of a single shoe can be emotionally significant if we kill it or if we get our ass kicked :-).
The dealer should show a 10+ value card ~38.5% of the time if the deal is truly random, and my statistics over 2,000 hands (in a related post here) suggest the deal appears to be honest. I agree with you there is probably something fishy going on, but I believe it is after the cards are dealt.