Prime p₀= 556527094919029511 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 64 2 88 2 70 2 10 2 (?)
a_n: 0 2 30 32 96 98 186 188 258 260 270 272
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: 272
Found by: marsinph
db: batch=71, k=12, 28 64 88 70 10

SPT(14)	556527038529462997	0 16 22 106 132 226 322 330 426 520 546 630 636 652	-56389566514
SPT(14)	556527050270499449	0 12 14 32 38 60 74 108 122 144 150 168 170 182	-44648530062
SPT(16)	556527055236043531	0 40 52 66 70 72 76 82 126 132 136 138 142 156 168 208	-39682985980
SPT(14)	556527056634902677	0 24 36 46 70 106 114 142 150 186 210 220 232 256	-38284126834
SPT(20)	556527065643424223	0 6 14 20 50 90 126 144 176 200 210 234 266 284 320 360 390 396 404 410	-29275605288
SPT(14)	556527079478311769	0 2 14 72 98 114 132 170 188 204 230 288 300 302	-15440717742
SPT(14)	556527096938644631	0 66 92 98 108 116 122 126 132 140 150 156 182 248	2019615120
SPT(14)	556527107323705603	0 10 70 106 108 120 150 166 196 208 210 246 306 316	12404676092
SPT(14)	556527112595355191	0 20 56 72 86 120 240 278 398 432 446 462 498 518	17676325680
SPT(14)	556527134879235931	0 6 42 126 130 136 160 162 186 192 196 280 316 322	39960206420
TPT(12)	556527162445932791	0 2 36 38 126 128 150 152 198 200 240 242	67526903280