Tulio scored a 40-yard effort by chipping Newcastle keeper Jack Duncan in the first half before setting up Jason Cummings for the Mariners' second after the half-time break.
Frenchman Beni Nkololo grabbed the Mariners' third with a well-taken penalty to round victory in the 86th minute in Gosford.Â
It was Tulio's opener, though, which will be replayed over again after he caught Duncan off his line in the 22nd minute.
The 24-year-old received the ball just inside Newcastle's half before unleashing an audacious long-range chip with his second touch to leave Duncan red-faced.
The victory - the Mariners' second on the spin - moves Nick Montgomery's side up to third on the table, while the Jets have just one win from their last six games.
The Jets had yet to keep a cleansheet this season and manager Arthur Papas dropped right-back Carl Jenkinson and centre-back Matt Jurman to the bench for Wednesday's F3 derby.
The change didn't have the desired effect with the Mariners overrunning the Jets early through the pace of Sam Silvera and Garang Kuol out wide.
Kuol, who was making just his second ALM start and was taken off at half-time, twice set up Cummings in the opening quarter of an hour.
His fellow Socceroos teammate could only hit the post and head straight into the path of Duncan with his other effort.
Tulio also tested the Newcastle No. 1 on the counter, but his breathtaking goal came against the run of play when Jets winger Trent Buhagiar lost the ball.
The ball trickled into Tulio's path and he unleashed from distance to send it sailing over Duncan's head.
Silvera had a chance to add the Mariners' second just before halftime but he was unable to finish.
Newcastle came out with much better intent in the second half with Beka Mikeltadze's effort cleared off the line by no-nonsense Mariners defender Brian Kaltak.
But the half-time shake-up didn't last and after testing the Jets on the break once more, Tulio found space.
He enjoyed a neat one-two with Cummings who was able to guide his 63rd-minute finish past Duncan for his fourth goal of the season.
Tulio went close to grabbing his side's third, but that honour fell to Nkololo who calmly slotted a penalty after a handball from young Jets defender Mark Natta.
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