Stoinis superbly steered the Stars' hostile batting charge and helped his side post an imposing 219-1 in their 20 overs - the third-highest total in BBL history.
The opening partnership for the Stars broke another BBL record as Stoinis and Hilton Cartwright added 207 runs for the first wicket.
The all-rounder initially took time to get going, absorbing several dot deliveries as the home side trudged to 49 in the first seven overs.
Just when doubts formed over the ability of the duo to accelerate, Stoinis and Cartwright launched into a phenomenal display of ravishing strokes.
Stoinis was the aggressor of the two, managing to dominate the strike and seized the opportunity to entrench his hold on the No. 1 slot in the list of leading run-getters in this tournament.
The 30-year-old's freewheeling batting exhibition saw him unleash plenty of muscular blows that ended up in the top tier of the stadium.
Standing deep in his crease, Stoinis used the bottom hand to shovel boundaries against a Sixers bowling attack continuing to err in their lines and lengths.
He smoked eight maximums and 13 fours as he finished three runs short of the 150-run mark in his 79-ball stay in the middle.
Meanwhile, Cartwright amassed 59 runs from 40 deliveries before getting out to Tom Curran in the final over of the innings.
This was the sole silver lining from Sixers' abject bowling performance with left-arm paceman Ben Dwarshuis conceding the most runs in a four-over spell for a bowler in BBL.
In reply, the Moises Henriques-led Sixers began their chase brightly but the loss of wickets at regular intervals pegged them back.
Spinner Clint Hinchliffe emerged as the unlikely hero for the Stars as he chipped in with career-best figures of 3-20 to diminish the hopes of the visitors to mow down an improbable target.
Dwarshuis tried to make amends for a forgettable night with the ball by hammering three sixes in his 17-ball 42 but by then the Sixers were staring down the barrel of a humiliating defeat.