Integer Solution:

triple [1,55,20] - Cost: 189
triple [2,27,24] - Cost: 108
triple [3,17,8] - Cost: 104
triple [4,13,33] - Cost: 62
triple [5,57,28] - Cost: 165
triple [6,66,22] - Cost: 125
triple [7,59,19] - Cost: 137
triple [8,44,37] - Cost: 62
triple [9,15,61] - Cost: 117
triple [10,12,59] - Cost: 161
triple [11,25,57] - Cost: 158
triple [12,28,56] - Cost: 159
triple [13,14,16] - Cost: 171
triple [14,1,42] - Cost: 170
triple [15,39,55] - Cost: 180
triple [16,31,46] - Cost: 99
triple [17,18,7] - Cost: 138
triple [18,36,32] - Cost: 97
triple [19,50,6] - Cost: 139
triple [20,61,35] - Cost: 132
triple [21,46,54] - Cost: 165
triple [22,53,23] - Cost: 162
triple [23,22,4] - Cost: 85
triple [24,7,25] - Cost: 118
triple [25,65,52] - Cost: 106
triple [26,21,27] - Cost: 106
triple [27,34,34] - Cost: 176
triple [28,33,26] - Cost: 100
triple [29,11,48] - Cost: 137
triple [30,20,51] - Cost: 149
triple [31,37,5] - Cost: 122
triple [32,38,40] - Cost: 90
triple [33,32,45] - Cost: 162
triple [34,63,44] - Cost: 183
triple [35,43,13] - Cost: 106
triple [36,16,38] - Cost: 128
triple [37,6,64] - Cost: 143
triple [38,42,63] - Cost: 159
triple [39,45,1] - Cost: 213
triple [40,56,10] - Cost: 107
triple [41,23,41] - Cost: 145
triple [42,3,62] - Cost: 173
triple [43,47,36] - Cost: 110
triple [44,54,31] - Cost: 146
triple [45,5,53] - Cost: 78
triple [46,24,49] - Cost: 102
triple [47,8,2] - Cost: 153
triple [48,51,9] - Cost: 128
triple [49,19,29] - Cost: 213
triple [50,49,17] - Cost: 185
triple [51,30,18] - Cost: 138
triple [52,35,12] - Cost: 154
triple [53,52,15] - Cost: 192
triple [54,41,3] - Cost: 167
triple [55,40,30] - Cost: 102
triple [56,26,47] - Cost: 141
triple [57,60,11] - Cost: 108
triple [58,64,39] - Cost: 108
triple [59,48,21] - Cost: 173
triple [60,29,58] - Cost: 137
triple [61,4,43] - Cost: 128
triple [62,62,50] - Cost: 127
triple [63,9,60] - Cost: 89
triple [64,10,65] - Cost: 92
triple [65,58,14] - Cost: 167
triple [66,2,66] - Cost: 98
_________________________________
Total Costs: 8944