Blackheath continued their excellent form in 2012 with a rare away victory at Tynedale.
Two tries from Tom Chapman and one each from Jack Walsh, Sam Windsor, Truman Sullivan and Richard Lankshear helped the side to a 34-17 win.
Captain Tom Bason told BBC Radio Kent: "That's 25 points from the last five games, maximum points.
"We're chipping away so we hope we can continue the winning streak," the Blackheath captain added.
The win puts the Kent side fifth in the table and the next few matches are crucial, according to Bason.
"We've got six games left, three are against top-five teams, but four of the six are at home," he said.
"It's Macclesfield at home, who we have jumped above, so a massive game. They're a big lumpy pack of forwards so we are looking to get one back on them," he said.
Elsewhere Westcombe Park are still bottom of National League Two but had a much needed 22-13 win away to Hertford.
In National League Three South East, Canterbury's winning run is finally over. Their run of 21 straight wins ended with a 33-24 defeat by Ampthill but they still lead the table by 14 points.
Old Elthamians beat Chichester 34-12 to move into the play-off place in London League One although just five points separate the top three.
Charlton Park lost ground on the London League Two leaders after losing to Aylesford Bulls 13-7.