Prime p₀= 586404079314216341 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 46 2 28 2 40 2 (?)
a_n: 0 2 36 38 48 50 96 98 126 128 168 170
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: arkiss
db: batch=71, k=12, 34 10 46 28 40

SPT(14)	586404051234276619	0 54 60 64 88 94 102 130 138 144 168 172 178 232	-28079939722
SPT(14)	586404060642911617	0 42 60 66 82 120 126 190 196 234 250 256 274 316	-18671304724
SPT(14)	586404062979973661	0 26 42 78 86 90 98 120 128 132 140 176 192 218	-16334242680
SPT(14)	586404064468931953	0 4 34 48 100 114 168 256 310 324 376 390 420 424	-14845284388
SPT(14)	586404064723834837	0 34 76 130 154 210 216 280 286 342 366 420 462 496	-14590381504
SPT(14)	586404071556092717	0 2 6 14 44 54 72 74 92 102 132 140 144 146	-7758123624
SPT(14)	586404091182239377	0 76 84 124 144 150 154 186 190 196 216 256 264 340	11868023036
SPT(14)	586404101411307757	0 12 30 40 102 112 156 196 240 250 312 322 340 352	22097091416
SPT(14)	586404110589531109	0 72 88 102 120 124 168 184 228 232 250 264 280 352	31275314768
TPT(12)	586404119424255017	0 2 30 32 42 44 54 56 72 74 90 92	40110038676
SPT(14)	586404127428868351	0 22 58 66 72 78 102 106 130 136 142 150 186 208	48114652010