Sent in to bat on Sunday, the Heat piled on 4-192 at GMHBA Stadium - the third-highest total of the season - before bowling out the hapless Renegades for 91 off 17.5 overs.
It is the second-highest BBL defeat by runs after Melbourne Stars' 112-run victory over the Renegades in the 2015-16 season.
Brendon McCullum (69) and Chris Lynn (66 not out) were in typically audacious form but it was the Heat's newest big-hitting specialist, 19-year-old opener Max Bryant, who had the visitors firing from the start.
Bryant (44 of 24 balls) reeled off four consecutive boundaries as one-time Test paceman Joe Mennie went for 23 runs off his second over.
Mennie was hastily removed from the Renegades' attack but the damage continued as the Heat raced to 0-65 off five overs.
Bryant announced himself when he plundered 71 from 31 balls during the domestic one-day competition - in the process making the fastest half-century in Queensland history - then scoring 62 for a CA XI against a full-strength Indian attack.
Facing Renegades spinner Mohammed Nabi, Bryant fired a return shot so hard it knocked McCullum's bat out of his hands at the non-striker's end.
He eventually holed out in the deep to Dan Christian's bowling but McCullum was in typically destructive form, smashing five sixes.
Lynn didn't take long to get in the act, scoring four sixes including an outrageous sweep shot over deep backward square-leg.
Matthew Renshaw surprisingly opened the bowling for the Heat with his part-time offspin and almost had Mackenzie Harvey stumped.
Harvey soon fell to Brendon Doggett, while recalled quick Josh Lalor dismissed Test opener Marcus Harris on two.
Legspinner Mitchell Swepson and paceman Doggett each snared three wickets.
The Heat return to the Gabba on Thursday night for a huge clash with the Thunder.
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