Willian scored twice as Chelsea claimed a record-equalling 13th consecutive Premier League victory by beating Stoke 4-2.
Stoke twice hit back to level after falling behind at Stamford Bridge, but Willian's second goal and a late Diego Costa strike saw Chelsea match Arsenal's run of 13 wins within the same season from 2001-02.
Antonio Conte's side remain six points clear of second-placed Liverpool heading into 2017.
'Congratulations go to my players. To win 13 games in a row in this league is very difficult,' Conte said.
'Now they are fantastic and we are proud, but we must concentrate on the second part of the season. Numbers are not important if you do not win the title.'
Mourinho delighted with atmosphere
Manchester United came perilously close to seeing their own winning streak end, only for late goals by Anthony Martial and Paul Pogba to secure a 2-1 home win over Middlesbrough.
It was sixth-place United's fifth straight league win and took them to within a point of fourth-place Arsenal, who host Crystal Palace on Sunday.
'My players were phenomenal. We managed to do something I love -- bring the fans to the pitch. The last 15 mins were 70,000 on the pitch against 11,' United manager Jose Mourinho said.
Chelsea welcomed back N'Golo Kante and Costa from suspension for the visit of Stoke and took a first-half lead when Gary Cahill headed in a corner from Cesc Fabregas.
Bruno Martins Indi equalised within seconds of kick-off in the second half, slotting in after Peter Crouch nodded down Charlie Adam's free-kick.
After Willian had restored the hosts' lead, lashing in from Eden Hazard's lay-off, Crouch drew Stoke level again in the 64th minute when he tapped in Mame Biram Diouf's cross.
But Willian put Chelsea back in front a minute later and Costa's late strike sealed victory.
United leave it late
At Old Trafford United produced a comeback reminiscent of the glory years of the watching Alex Ferguson to continue their recent upturn.
But they had to do it the hard way, with Zlatan Ibrahimovic initially denied an 18th goal of the season in a contentious incident late in the first half.
Leaping to meet Martial's left-wing cross, the Swede jabbed the ball past goalkeeper Victor Valdes at the near post, only for referee Lee Mason to rule it out.
United's players, and Mourinho, contested the decision, and there was worse to come when Grant Leadbitter drilled Boro in front from Alvaro Negredo's knock-down in the 67th minute.
But Martial levelled in the 85th minute and barely a minute later Pogba headed in the winner from Juan Mata's cross.
Leicester back on track?
Champions Leicester City claimed a much-needed win, beating West Ham United 1-0 courtesy of Islam Slimani's 20th-minute header to climb six points clear of the relegation zone.
Swansea City made a demoralising start to life without sacked manager Bob Bradley, slumping to a 3-0 home defeat against Bournemouth that kept them at the foot of the table.
Andre Gray became the first Burnley player to score a Premier League hat-trick as Sean Dyche's men beat third-bottom Sunderland 4-1 to climb to 11th place.
Matt Phillips and Wales's Euro 2016 star Hal-Robson Kanu scored as West Bromwich Albion came from behind to win 2-1 at Southampton, who had centre-back Virgil van Dijk sent off.
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