Prime p₀= 2088480156304507151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 148 2 16 2 10 2 154 2 (?)
a_n: 0 2 60 62 90 92 240 242 258 260 270 272 426 428
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: 428
Found by: JonS
db: batch=80, k=14, 58 28 148 16 10 154

STPT(10)	2088479645472929711	0 2 30 32 60 62 90 92 120 122	-510831577440
SPT(16)	2088479774717247293	0 20 48 56 74 140 158 174 230 246 264 330 348 356 384 404	-381587259858
SPT(16)	2088480005984859911	0 32 42 48 62 132 140 158 270 288 296 366 380 386 396 428	-150319647240
TPT(14)	2088480097631854019	0 2 18 20 42 44 132 134 168 170 240 242 420 422	-58672653132
SPT(16)	2088480099667498717	0 22 24 90 96 112 120 126 130 136 144 160 166 232 234 256	-56637008434
STPT(10)	2088480137300509619	0 2 18 20 30 32 42 44 60 62	-19003997532
STPT(10)	2088480477950175611	0 2 30 32 78 80 126 128 156 158	321645668460
SPT(16)	2088480529683934559	0 20 62 84 90 108 122 134 138 150 164 182 188 210 252 272	373379427408
SPT(16)	2088480761537212379	0 18 32 78 80 102 150 152 210 212 260 282 284 330 344 362	605232705228
TPT(14)	2088480819611660387	0 2 114 116 312 314 474 476 510 512 522 524 534 536	663307153236
STPT(10)	2088480820011960947	0 2 24 26 42 44 60 62 84 86	663707453796