Prime p₀= 2308524064120349291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 88 2 16 2 16 2 40 2 (?)
a_n: 0 2 30 32 60 62 150 152 168 170 186 188 228 230
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: 230
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 28 28 88 16 16 40

SPT(16)	2308523167519246631	0 50 78 126 132 188 210 228 230 248 270 326 332 380 408 458	-896601102660
STPT(10)	2308523301719695757	0 2 12 14 72 74 132 134 144 146	-762400653534
SPT(16)	2308523337464916599	0 14 54 80 84 98 132 140 222 230 264 278 282 308 348 362	-726655432692
SPT(16)	2308523587713464279	0 60 98 132 138 152 162 204 278 320 330 344 350 384 422 482	-476406885012
SPT(16)	2308523740103804131	0 6 30 58 72 88 102 130 198 226 240 256 270 298 322 328	-324016545160
SPT(16)	2308523888217479533	0 6 18 34 76 100 160 186 208 234 294 318 360 376 388 394	-175902869758
SPT(16)	2308525019063939087	0 20 24 60 80 104 140 144 152 156 192 216 236 272 276 296	954943589796
SPT(18)	2308525129165266049	0 30 112 124 168 190 192 208 234 238 264 280 282 304 348 360 442 472	1065044916758
SPT(16)	2308525281547420613	0 18 98 146 168 194 200 228 266 294 300 326 348 396 476 494	1217427071322
STPT(10)	2308525672898703227	0 2 54 56 72 74 90 92 144 146	1608778353936
STPT(10)	2308525912428050891	0 2 36 38 78 80 120 122 156 158	1848307701600