I don't know if this would be any consolation, but the probability of rolling 8 20s (or any other 8 rolls in order) would be exacly the same as rolling 1, 1, 1, 1, 1, 2, 2 in this order. So every time you roll 8 20-sided dice, a very improbable event occures, regardless of results.
If all (any) dice were actually random, would it be fair to say that thanks to the OP's sacrifice, the rest of us are unlikely to roll 6 consecutive 1s for the next 64 million series?
Somewhere in the bowels of my memory of a high school math class, I think my logic is wrong, but can you explain why?