Prime p₀= 1258021851673151141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 28 2 88 2 88 2 4 2 (?)
a_n: 0 2 36 38 90 92 120 122 210 212 300 302 306 308
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: 308
Found by: biodoc
db: batch=77, k=14, 34 52 28 88 88 4

STPT(10)	1258020683481512021	0 2 36 38 78 80 120 122 156 158	-1168191639120
STPT(10)	1258020723835379597	0 2 30 32 60 62 90 92 120 122	-1127837771544
SPT(16)	1258020951162590107	0 30 52 72 84 114 120 202 282 364 370 400 412 432 454 484	-900510561034
TPT(14)	1258021029528107417	0 2 24 26 42 44 60 62 102 104 144 146 180 182	-822145043724
SPT(16)	1258021407460018549	0 10 22 64 108 118 192 204 208 220 294 304 348 390 402 412	-444213132592
SPT(16)	1258021666415182261	0 6 10 42 76 130 136 160 162 186 192 246 280 312 316 322	-185257968880
STPT(10)	1258021999279910477	0 2 30 32 42 44 54 56 84 86	147606759336
STPT(10)	1258022221448684051	0 2 6 8 48 50 90 92 96 98	369775532910
STPT(10)	1258022354065470809	0 2 12 14 30 32 48 50 60 62	502392319668
SPT(16)	1258022498870965207	0 6 42 70 76 112 120 144 172 196 204 240 246 274 310 316	647197814066
SPT(16)	1258022587586004307	0 4 46 70 90 124 156 166 204 214 246 280 300 324 366 370	735912853166