C(16,6,2) <=10

Method of construction: lex covering

 1  2  3  4  5  6
 1  7  8  9 10 11
 1 12 13 14 15 16
 2  3  7  8 12 13
 2  3  9 10 14 15
 4  5  7  8 14 15
 4  5  9 10 12 13
 2  3  4  5 11 16
 6  7  8  9 10 16
 6 11 12 13 14 15