C(10,6,3) = 10
Method of Construction: cyclic covering found by search program
Lower Bound: Handbook of Combinatorial Designs section on coverings
1 2 3 4 5 7
2 3 4 5 6 8
3 4 5 6 7 9
4 5 6 7 8 10
1 5 6 7 8 9
2 6 7 8 9 10
1 3 7 8 9 10
1 2 4 8 9 10
1 2 3 5 9 10
1 2 3 4 6 10