Perhaps the following schedule might help, most players play most of their games in long runs. For example player I is the best, as they have all games together in rounds 6 to 16. Player A is the worst, with runs of 5 games, 4 games, 1 game & 1 game.
(D J) (A L) (G K)
(D K) (G L) (A J)
(A G) (J K) (D L)
(D G) (J L) (A K)
(K L) (G J) (A D)
(B I) (E L) (C G)
(C I) (D E) (B L)
(C E) (I L) (B G)
(B E) (G I) (C L)
(D I) (E G) (B C)
(E H) (C J) (F I)
(E I) (A F) (H J)
(A H) (I J) (E F)
(A E) (F J) (H I)
(A I) (F H) (E J)
(I K) (B F) (C H)
(D F) (B H) (C K)
(A B) (F K) (C D)
(B D) (C F) (H K)
(A C) (D H) (B K)
(F G) (H L) (E K)
(G H) (F L) (B J)
