A knock of 75 from Grace Harris, who opened for Australia at the recent World Cup when Alyssa Healy was injured, lifted the Heat to a total of 5-173 at Melbourne's Junction Oval on Saturday.
It looked to be a competitive target but the Hurricanes, having put down four catches, quickly seized control and secured a seven-wicket win with two balls remaining.
Wyatt-Hodge smashed 62 from 35 deliveries, earning player-of-the-match honours on what was comfortably a record-breaking day for Hobart.
The Hurricanes' previous best WBBL chase came in October 2021, when they hauled in a target of 145 against Melbourne Stars.
The Hurricanes are hitting them everywhere! Back-to-back sixes 🔥— Weber Women's Big Bash League (@WBBL) #WBBL10 pic.twitter.com/tab05eGyOrNovember 2, 2024
Wyatt-Hodge, among the most experienced T20 players in the world, and fellow opener Lizelle Lee set a sizzling pace while sharing a 55-run stand in the opening six overs.
"I thought the pitch was a little bit on slow side. I just kept it simple really, if the ball was in my areas then go for it," Wyatt-Hodge told broadcasters Fox Sports.
"Just play attacking cricket but being smart about it.
"I thought that was probably about par. We knew we could chase that if we put our minds to it and get our heads down.
"Me and Lizzie just wanted to make the most of the powerplay and stick to our strengths ... keep things simple and play aggressive cricket."
Lee's dismissal for 38 failed to curb the momentum of Wyatt-Hodge, who struck six fours and three sixes in her game-changing innings.
View this post on Instagram A post shared by Weber WBBL (@wbbl)
The Heat removed Nicola Carey, victim to a sensational catch from Nadine de Klerk, and Wyatt-Hodge then continued to rally, leaving Hobart with a tricky equation of 33 runs from the final three overs.
Legspinner Grace Parsons' economical haul of 1-15 from four overs, including the all-important scalp of Wyatt-Hodge, gave Brisbane genuine hope of victory.
But Elyse Villani's reverse-swept boundary, her second four in a dramatic final over delivered by Charli Knott, secured the win for Hobart.