Prime p₀= 2088480819611660387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 196 2 160 2 34 2 10 2 10 2 (?)
a_n: 0 2 114 116 312 314 474 476 510 512 522 524 534 536
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: 536
Found by: JonS
db: batch=80, k=14, 112 196 160 34 10 10

SPT(16)	2088480099667498717	0 22 24 90 96 112 120 126 130 136 144 160 166 232 234 256	-719944161670
STPT(10)	2088480137300509619	0 2 18 20 30 32 42 44 60 62	-682311150768
TPT(14)	2088480156304507151	0 2 60 62 90 92 240 242 258 260 270 272 426 428	-663307153236
STPT(10)	2088480477950175611	0 2 30 32 78 80 126 128 156 158	-341661484776
SPT(16)	2088480529683934559	0 20 62 84 90 108 122 134 138 150 164 182 188 210 252 272	-289927725828
SPT(16)	2088480761537212379	0 18 32 78 80 102 150 152 210 212 260 282 284 330 344 362	-58074448008
STPT(10)	2088480820011960947	0 2 24 26 42 44 60 62 84 86	400300560
STPT(10)	2088480993230599787	0 2 30 32 42 44 54 56 84 86	173618939400
SPT(16)	2088481125004191943	0 28 64 78 154 198 264 268 306 310 376 420 496 510 546 574	305392531556
SPT(16)	2088481302993371761	0 30 72 88 132 168 172 210 298 336 340 376 420 436 478 508	483381711374
STPT(10)	2088481417151973659	0 2 12 14 30 32 48 50 60 62	597540313272