Manchester United managed to keep the gap down to 11 points by sneaking a win against Bournemouth thanks to Romelu Lukaku and David de Gea.
But there were slip ups for Arsenal and Liverpool as Tottenham moved back into the top four at their expense.
The City steam train took their incredible total to 49 points – more than the eighth placed team from last season got after 38 games – from just 17 matches.
And the City players were partying in the dressing room again after knocking four goals in at Swansea.
David Silva got two with Kevin De Bruyne and Serio Aguero getting the others.
“It must be great to watch if you’re a City fan but I found it difficult to watch at times,” Paul Clement said. “They’re one of the best teams I’ve seen.”
Not bad coming from the former Bayern Munich and Real Madrid assistant manager.
Manchester United struggled to a 1-0 win but it was a return to winning ways following.
“I am pleased with the three points, it was difficult match,” Jose Mourinho said.
“They had one more day’s rest than us, they were fresher than us, and mentally fresher because a big match takes more from our players.
“We had chances, Martial missed a good chance, Rashford could have had an astonishing effort, and in the last 15 they pushed us.”
Arsenal boss Arsene Wenger was frustrated with his side’s blank against West Ham that saw them drop to seventh.
“We had so much of the ball, but it was very frustrating because we could even have lost it at the end. They’re happy to defend, they did that against Chelsea and Manchester City, so we couldn’t find the opening and the few chances we had we missed.
“I can’t fault the effort of the team but West Ham were very good in defence tonight.
“There’s always concern [about the table] as we are here to win games. Chelsea came here and lost and we had one day less to prepare.
“When you play every three days, you lose your sharpness.”
Liverpool were left reeling after a second successive draw at Anfield saw them overtaken by Tottenham.
Dominic Solanke had the ball in the net late on, only to be denied by an offside decision.
“First half we were a little bit stiff, the passing and movement was not so good but even then we had two or three chances,” Klopp said.
“The second half we changed the system two or three times. It was difficult but I think only one time Loris Karius had to make a save – an important one.
“We can do better and we have to do better but on a night like this when you are not at your best you need a bit of luck.
“That was not our best game tonight but I think we had enough chances to win. We didn’t use them and we have to accept the result.”
