Lynn smashed 81 off 35 balls with 12 fours and three sixes, bringing his half-century up in 18 balls to equal the record set earlier in this year???s competition by Tim Ludeman of the Adelaide Strikers.
It helped the Heat post an imposing target of 199 to win. The Hurricanes fell short, finishing 180-8.
Lynn???s knock was a crucial one after Joe Burns (one) again fell cheaply following his duck against the Melbourne Renegades on Monday.
He took a particular liking Tim Bresnan ??? who went for 48 from his three overs ??? blasting him for five straight fours in the third over as the Yorkshire allrounder kept serving it up on a length.
Ben Hilfenhaus was the next to be dispatched ??? out the ground this time ??? as Lynn cracked two huge sixes, first over long-off then high and handsome over midwicket.
The Hurricanes attack continued to be smashed around the ground with the Heat???s hundred came up with another Lynn four in the 10th over.
But that was to be the last boundary for 41 balls ??? a period which saw Lynn depart and Peter Forrest, who had supported him well with a more sedate 46 from 48 balls in a 113-run partnership.
But some more powerful hitting from the lower order ??? Dan Christian (20 off 12), Nathan Reardon (20 off 11) and Ben Cutting (24 off eight) brought 55 runs from the final four overs as the Heat finished on 198-6.
The Hurricanes not only needed to win to keep their semi-final hopes alive, but quickly, in order to try and better the Melbourne Stars and Sydney Sixers??? net run-rates.
But two early wickets for Mark Steketee (2-28) for the Heat ??? both controversial in different ways ??? meant that scenario never looked likely.
Ben Dunk (two) was first out, edging behind to wicketkeeper Jimmy Peirson. The third umpire was asked to check if it was a bump ball and although replays looked inconclusive as to whether Dunk had even hit it, as it wasn???t a bump ball, the umpire gave it out having thought there was a nick.
Then Tim Paine (five), skying a top-edge high into the air, was nearly given a let-off as Andrew Flintoff almost knocked the ball out of Christian???s hands when coming in to take the catch himself.
Flintoff had been chatting to the commentary box at the time, with his earpiece in and said he couldn???t hear Christian???s call. But he made amends later in the innings, while again chatting to the commentators, catching a Jonathan Wells skier.
That left the Hurricanes 82-6 in the 11th over with wickets falling at regular intervals.
Shoaib Malik tried desperately to make a game of it, with 42 off 23 balls to add to his bowling efforts of 3-37.
Tailenders Hilfenhaus (38 off 31) and Cameron Boyce (24 off nine), cracked three sixes between them as they moved closer to the Heat???s total but it wasn???t enough.