Prime p₀= 1080408276618032081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 58 2 16 2 40 2 118 2 (?)
a_n: 0 2 96 98 108 110 168 170 186 188 228 230 348 350
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: 350
Found by: Theadalus
db: batch=76, k=14, 94 10 58 16 40 118

SPT(16)	1080407299901583193	0 30 46 88 114 190 198 204 220 226 234 310 336 378 394 424	-976716448888
SPT(16)	1080407391574486007	0 14 84 120 180 182 186 204 242 260 264 266 326 362 432 446	-885043546074
SPT(16)	1080407614066311101	0 2 36 50 86 102 126 156 242 272 296 312 348 362 396 398	-662551720980
SPT(16)	1080407742237448483	0 24 78 94 96 138 144 196 228 280 286 328 330 346 400 424	-534380583598
STPT(10)	1080408135259185251	0 2 36 38 78 80 120 122 156 158	-141358846830
SPT(16)	1080408144223858139	0 20 48 98 114 170 200 224 288 312 342 398 414 464 492 512	-132394173942
STPT(12)	1080408408843061469	0 2 12 14 42 44 78 80 108 110 120 122	132225029388
SPT(16)	1080408858439995101	0 12 20 50 56 90 96 108 110 122 128 162 168 198 206 218	581821963020
SPT(16)	1080409211606461439	0 14 72 110 128 138 140 150 212 222 224 234 252 290 348 362	934988429358
SPT(16)	1080409300161042323	0 20 30 36 38 66 68 80 96 108 110 138 140 146 156 176	1023543010242
SPT(16)	1080409387253147153	0 38 80 114 290 300 320 336 338 354 374 384 560 594 636 674	1110635115072