Prime p₀= 3091503992703891641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 64 2 28 2 10 2 (?)
a_n: 0 2 30 32 48 50 90 92 156 158 186 188 198 200
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: 200
Found by: L@MiR
db: batch=83, k=14, 28 16 40 64 28 10

TPT(14)	3091502426789272607	0 2 60 62 72 74 150 152 210 212 222 224 354 356	-1565914619034
SPT(16)	3091502483761879261	0 16 22 138 240 246 258 268 270 280 292 298 400 516 522 538	-1508942012380
SPT(16)	3091502587697885887	0 4 22 42 64 96 126 144 172 190 220 252 274 294 312 316	-1405006005754
SPT(16)	3091503228308027843	0 14 48 56 60 144 170 228 326 384 410 494 498 506 540 554	-764395863798
SPT(16)	3091503460397661497	0 14 60 62 66 74 152 206 210 264 342 350 354 356 402 416	-532306230144
SPT(16)	3091503842925117299	0 18 44 54 80 114 150 158 234 242 278 312 338 348 374 392	-149778774342
SPT(16)	3091504636848216137	0 26 92 96 132 182 194 216 260 282 294 344 380 384 450 476	644144324496
SPT(16)	3091504882470266111	0 38 98 122 132 168 192 198 230 236 260 296 306 330 390 428	889766374470
SPT(16)	3091504971074348657	0 36 66 176 192 222 252 272 324 344 374 404 420 530 560 596	978370457016
SPT(16)	3091504974109235701	0 30 58 78 112 138 142 168 220 246 250 276 310 330 358 388	981405344060
SPT(13)	3091505150203638023	0 30 60 168 174 228 234 240 294 300 408 438 468	1157499746382