B:=[]; G:=[]; # Design 1: autom. group order 78, simple, residual B[1]:=[[1,2,3,4,5,6,7],[1,2,3,4,5,6,8],[1,2,3,7,9,10,11],[1,2,3,9,10,11,12],[1,2,4,7,12,13,14],[1,2,4,9,12,13,14],[1,3,5,8,10,13,14],[1,3,7,8,10,13,14],[1,4,5,8,9,10,12],[1,4,6,8,9,11,13],[1,5,6,7,11,12,14],[1,5,6,10,11,12,14],[1,6,7,8,9,11,13],[2,3,5,8,11,12,13],[2,3,6,8,9,12,14],[2,4,6,8,10,11,14],[2,4,7,8,10,11,14],[2,5,6,7,9,10,13],[2,5,6,9,10,13,14],[2,5,7,8,11,12,13],[3,4,5,7,9,11,14],[3,4,5,9,11,13,14],[3,4,6,7,10,12,13],[3,4,6,10,11,12,13],[3,6,7,8,9,12,14],[4,5,7,8,9,10,12]]; G[1]:=Group([(2,3)(4,10)(5,9)(6,11)(8,12)(13,14),(2,6,14)(3,11,13)(4,5,12)(8,10,9),(1,2)(3,4)(5,6)(9,12)(10,14)(11,13)]);