Prime p₀= 3091283961873779627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 10 2 28 2 10 2 16 2 (?)
a_n: 0 2 42 44 60 62 72 74 102 104 114 116 132 134
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: 134
Found by: herby44
db: batch=83, k=14, 40 16 10 28 10 16

STPT(10)	3091282358714131259	0 2 18 20 30 32 42 44 60 62	-1603159648368
SPT(16)	3091282837096397929	0 42 72 94 124 138 234 244 318 328 424 438 468 490 520 562	-1124777381698
STPT(10)	3091283320195584221	0 2 36 38 78 80 120 122 156 158	-641678195406
STPT(10)	3091283333158013099	0 2 78 80 120 122 162 164 240 242	-628715766528
SPT(16)	3091283364805818313	0 36 48 120 136 174 228 286 348 406 460 498 514 586 598 634	-597067961314
STPT(12)	3091283691377998559	0 2 18 20 42 44 78 80 102 104 120 122	-270495781068
STPT(12)	3091283961873779669	0 2 18 20 30 32 60 62 72 74 90 92	42
SPT(16)	3091284285602877061	0 40 70 88 90 102 118 136 162 180 196 208 210 228 258 298	323729097434
SPT(16)	3091284809965564523	0 24 36 86 90 110 146 150 194 198 234 254 258 308 320 344	848091784896
SPT(16)	3091284853322254129	0 30 48 100 102 112 150 172 198 220 258 268 270 322 340 370	891448474502
SPT(16)	3091284899448343853	0 8 26 30 36 48 134 164 180 210 296 308 314 318 336 344	937574564226