In All comps? 15/16 had Lukaku & Barkley (25 & 12), the year before had Lukaku Mirallas (20 & 11).
But for 2 out and out strikers, in all comps you have Saha & Beckford in 2010/11, who got 10 apiece.
Just league goals you have to go back to 2002/03 when Campbell & Radzinski got 11 each in the league (and a 3rd striker, Rooney, got 6). They got 13 & 11 in all comps respectively.
Campbell (12) & Barmby (10) in all comps 99-00
Ferguson (11) & Speed (11) in all comps 96-97
Kanchelskis (16) & Stuart (14) in all comps 95-96
Cottee (19) & Rideout (12) in all comps 93-94
Innaugral season of the premier league is the second time you come across 2 strikers getting 10+ in the league alone With Cottee (12) & Beardsley (10)