Prime p₀= 974592038381586257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 88 2 226 2 70 2 34 2 (?)
a_n: 0 2 42 44 84 86 174 176 402 404 474 476 510 512
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 512
Found by: stoneageman
db: batch=76, k=14, 40 40 88 226 70 34

STPT(12)	974591181730276037	0 2 42 44 54 56 90 92 102 104 144 146	-856651310220
STPT(10)	974591186956168421	0 2 6 8 48 50 90 92 96 98	-851425417836
TPT(14)	974591195925349571	0 2 18 20 30 32 48 50 90 92 186 188 246 248	-842456236686
STPT(10)	974591272322013077	0 2 30 32 42 44 54 56 84 86	-766059573180
SPT(16)	974591415515740993	0 70 106 120 126 144 196 204 280 288 340 358 364 378 414 484	-622865845264
STPT(10)	974591573229182939	0 2 18 20 30 32 42 44 60 62	-465152403318
SPT(16)	974592070679263921	0 22 40 82 100 150 162 192 280 310 322 372 390 432 450 472	32297677664
SPT(16)	974592295533576737	0 14 20 26 44 54 62 86 90 114 122 132 150 156 162 176	257151990480
SPT(16)	974592380941614931	0 28 40 66 72 100 130 132 136 138 168 196 202 228 240 268	342560028674
SPT(16)	974592695735888759	0 8 14 62 92 98 122 140 252 270 294 300 330 378 384 392	657354302502
SPT(16)	974592723791706451	0 28 48 76 126 130 168 180 286 298 336 340 390 418 438 466	685410120194