York beat Gateshead 3-1 on Good Friday, extending his unbeaten run to 5, continuing to gain momentum ahead of a potential playoff campaign.
After Ashley Nathaniel George cancelled the early opener, in his city colours, Malachi Fagan Walcott sealed three points for Minsterman.
Gateshead was on the lead after Luke Hannant lost the loose ball past the Harrison man.
After Hinshelwood's side discovered form, they won five for York, with a 2-1 defeat to Braintree Town in late March becoming a turning point.
Hinshelwood spoke, especially about how he had an honest conversation with the players after Burnett extended his lead to 14 points at the top of the table.
However, five wins and Burnett dropped points on both Braintree and Wealdstone, with the title race Fire reignited, leaving three games left to play for City.
Burnett is still playing the game, with the bees hosting Eastleigh at 5:30pm.
York was celebrating an impressive 7-2 victory at Aldershottown last weekend. Hinshelwood is enough to avoid making changes to the team.
His start 11 and bench both remained the same from that victory. This means there was no space in Ricky Agear and Jeff King's troops, leaving both Ryan Fallowfield and Dipo Akininiemi still injuring.
Gateshead recently entered a contest that rediscovered a sense of victory.
Though they threatened playoff hopes, these two victories put Carl Magnay's team in fifth place, with six people dodging Altrinchum six times outside the playoffs.
They beat third-placed Forest Green Rover last weekend to score 3-2, following a 2-1 victory over struggling Dargenham and Red Bridge.
Magny blew something astounding into his team sheet by changing his goalkeeper.
Tiannan Brooks took a picture of the number one shirt from George Shelby, and left-back Brendan Horton on Chesterfield's loan replaced Ethan Robson.
York has been enjoying it recently and was impressive, but City looked like a recent shadow of his self in the opening exchange.
Liam Humbles first tested the man when he moved the ball to his left foot from the corner routine before seeing his low effort.
It only took 11 minutes for HEED to take the deserved lead after the left attack was not dealt with.
Horton's low delivery was cleverly flicked against the post of Jovan Malcolm, watching the loose ball roll into the area.
Hannant was well positioned to compete for that ball and thundered a strike that left a helpless man in the male to keep Gateshead out.
York slowly grew into a match as Nathaniel George flipped over into a poor clearance and stabbed Brooks' gloves, but the disaster almost hit the resulting corner.
After Lewis Richardson fell too softly, Gateshead broke into a 3-on-1 situation.
They played the ball around the defence of the retreating city, but Tyrell Newton saw his first effort touch the man.
It returned to Horton, but once again from close range, the man came to York's rescue with an impressive double save.
Junior Amba celebrates York City's first goal. (Image: Tom Pool) Minsterman will soon reward their goalkeeper for his efforts after drawing the level thanks to Nathaniel George.
Richardson's cross was scored by Pierce, rattling the post before Brooks failed to grip the loose ball.
It fell to Nathaniel George and drove the ball to the top corner, making it 1-1 in 37 minutes.
Hinshelwood would have hoped it would be a catalyst for his team in the second half, and sometimes they looked impressive.
Callum Howe almost met Hunt Cross while Felix and Nathaniel-George had a strong strike punched out by Brooks.
Hinshelwood saw his bench and introduced both Josh Stones and Luamba, hoping that it would lean the scale in their favor.
And it immediately had an impact as York took the first lead in the contest.
After the Stones put the ball back into pierce, the National League top scorer broke forward and went wide.
He returned the ball back into the area and returned to the running Luamba, cooling the strike over Brooks.
Gateshead offered little in the second half, but when City scored again and sealed three points in addition to the scoreline, he felt frustrated.
Nathaniel George's Low Cross seemed to catch everyone, Fagan Walcott hopes he's read the play carefully.
He slammed the ball into the empty net, confirming York's three more points.
Gateshead: Brooks, Richardson, Hounstrap (Bartley, 86), Grayson, Horton, Hannant, Booty, Humbles, Anora (Worman, 78), Newton (Neobble, 86), Malcolm (Seller-Fuel, 78)
No submarines used: Bond, Colckett, Johnson
Goal: Hannant (11)
Yellow cards: Richardson (16), Grayson (37), Booty (47)
York City: Male 8, Sinclair 6 (Stone 6, 60), Fagan Walcott 8, Howe 7, John 6 (Crux 6, 60), Felix 7, Hunt 7 (Batty, 79), Armstrong 6 (John Lewis, 87), Richardson 6 (Luamba 7, 60), Nathaniel-George 8 Pair 8
Unused submarines: Watson, Chadwick
Goals: Nathaniel-George (36), Luamba (74), Fagan-Walcott (85)
Yellow Card: Hunt (71)
York Starman: Ashlena Thaniel George. Overall, the winger's goals and assists were impressed.
Judgment: Stuart Morland
Attendance: 3013 (1493)
Shot (on target): 9 (6) | 9 (8)
Corner: 6 | 4
Offside: 1 | 1
Foul: 9 | 8