Prime p₀= 454852172320535291 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 88 2 10 2 70 2 64 2 (?)
a_n: 0 2 66 68 156 158 168 170 240 242 306 308
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: 308
Found by: Cruncher Pete
db: batch=70, k=12, 64 88 10 70 64

TPT(12)	454852065253635809	0 2 48 50 90 92 102 104 180 182 270 272	-107066899482
SPT(14)	454852066529843677	0 22 112 190 210 220 232 234 246 256 276 354 444 466	-105790691614
SPT(14)	454852067178609143	0 8 30 44 50 54 68 96 110 114 120 134 156 164	-105141926148
SPT(14)	454852075047834623	0 8 54 68 74 78 134 150 206 210 216 230 276 284	-97272700668
TPT(12)	454852094050908899	0 2 48 50 78 80 132 134 168 170 252 254	-78269626392
TPT(12)	454852156729615991	0 2 36 38 78 80 90 92 168 170 216 218	-15590919300
SPT(14)	454852177968913577	0 2 80 132 144 156 180 326 350 362 374 426 504 506	5648378286
SPT(14)	454852185777673231	0 48 58 70 72 78 100 120 142 148 150 162 172 220	13457137940
SPT(14)	454852199527882853	0 20 50 54 90 104 176 228 300 314 350 354 384 404	27207347562
SPT(14)	454852201343771141	0 8 80 110 128 140 150 170 180 192 210 240 312 320	29023235850
SPT(14)	454852217158283227	0 12 24 52 70 76 82 84 90 96 114 142 154 166	44837747936