Prime p₀= 2397154188997633907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 28 2 88 2 34 2 28 2 22 2 (?)
a_n: 0 2 84 86 114 116 204 206 240 242 270 272 294 296
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: 296
Found by: Josemi
db: batch=81, k=14, 82 28 88 34 28 22

SPT(16)	2397152777885352899	0 18 32 44 110 150 170 180 242 252 272 312 378 390 404 422	-1411112281008
SPT(16)	2397152962970044373	0 30 56 78 90 98 110 198 278 366 378 386 398 420 446 476	-1226027589534
STPT(10)	2397153021326533331	0 2 36 38 78 80 120 122 156 158	-1167671100576
SPT(16)	2397153152570440553	0 18 38 78 80 86 128 156 170 198 240 246 248 288 308 326	-1036427193354
SPT(18)	2397153403662257467	0 12 34 52 90 96 100 106 154 162 210 216 220 226 264 282 304 316	-785335376440
STPT(10)	2397153918705202469	0 2 168 170 180 182 192 194 360 362	-270292431438
TPT(14)	2397154305501048341	0 2 6 8 66 68 78 80 108 110 120 122 138 140	116503414434
SPT(16)	2397154380197123539	0 24 28 70 84 100 154 172 240 258 312 328 342 384 388 412	191199489632
SPT(16)	2397154539133552229	0 20 62 78 120 122 128 132 170 174 180 182 224 240 282 302	350135918322
STPT(10)	2397154574956222517	0 2 72 74 102 104 132 134 204 206	385958588610
SPT(16)	2397154844576168741	0 8 50 96 120 126 180 182 306 308 362 368 392 438 480 488	655578534834