C(14,3,2) <=33

Method of construction: simple construction: combined (13,3,2) and (13,2,1)-coverings

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