The champions thrashed Sunderland 5-1.
Second place Spurs won 7-1 at Hull.
In the Premier League era, only Nottingham Forest and Man United have previously scored seven goals away from home.
Harry Kane scored another hat-trick and won the Golden Boot again.
Third placed Man City won 5-0 at Watford.
A fantastic goal by Wijnaldum set Liverpool on their way to a 3-0 victory over Middlesbrough at Anfield.
The third best team in London beat Everton 3-1 after Koscielny was sent off for a foul on Lukaku after 14 minutes.
Leicester and Bournemouth drew 0-0.
Manchester United beat Palace 2-0.
Stoke won 1-0 at Southampton.
And Swansea beat West Brom 2-1.
The FA Cup Final is Arsenal v Chelsea next Saturday.
Koscielny will be suspended just when Arsenal need him most.