Prime p₀= 584276777983176491 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 40 2 58 2 10 2 (?)
a_n: 0 2 36 38 66 68 108 110 168 170 180 182
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: 182
Found by: Alnitak2019
db: batch=71, k=12, 34 28 40 58 10

SPT(14)	584276733232841281	0 10 12 22 28 70 78 112 120 162 168 178 180 190	-44750335210
SPT(14)	584276739109626449	0 8 14 18 20 32 78 104 150 162 164 168 174 182	-38873550042
SPT(16)	584276740838828519	0 114 122 188 192 224 290 294 338 342 408 440 444 510 518 632	-37144347972
SPT(14)	584276751573960871	0 10 30 40 52 126 130 138 142 216 228 238 258 268	-26409215620
SPT(14)	584276754573056471	0 12 26 92 128 132 168 260 296 300 336 402 416 428	-23410120020
SPT(14)	584276770092349637	0 6 24 56 72 84 92 114 122 134 150 182 200 206	-7890826854
SPT(14)	584276792743122799	0 4 90 108 112 118 124 138 144 150 154 172 258 262	14759946308
TPT(12)	584276842041087467	0 2 30 32 42 44 60 62 72 74 84 86	64057910976
SPT(14)	584276850331458511	0 6 22 28 40 52 66 82 96 108 120 126 142 148	72348282020
SPT(14)	584276865717791731	0 6 46 70 88 118 136 150 168 198 216 240 280 286	87734615240
SPT(14)	584276867297613377	0 24 30 62 66 104 174 182 252 290 294 326 332 356	89314436886