Prime p₀= 2374958921562099347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 64 2 10 2 16 2 22 2 (?)
a_n: 0 2 24 26 114 116 180 182 192 194 210 212 234 236
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: 236
Found by: Landjunge
db: batch=81, k=14, 22 88 64 10 16 22

STPT(10)	2374957745091695537	0 2 54 56 72 74 90 92 144 146	-1176470403810
SPT(16)	2374958209268091683	0 14 104 110 120 134 260 300 308 348 474 488 498 504 594 608	-712294007664
SPT(16)	2374958402057798191	0 40 88 138 186 222 228 286 312 370 376 412 460 510 558 598	-519504301156
TPT(14)	2374958538875458169	0 2 12 14 60 62 72 74 258 260 270 272 282 284	-382686641178
SPT(16)	2374958724076210351	0 76 120 162 190 210 258 282 286 310 358 378 406 448 492 568	-197485888996
SPT(16)	2374958897702014583	0 24 38 84 86 126 156 186 248 278 308 348 350 396 410 434	-23860084764
TPT(14)	2374959385783419089	0 2 18 20 48 50 72 74 210 212 342 344 420 422	464221319742
SPT(16)	2374959720102594421	0 30 40 58 70 82 96 102 166 172 186 198 210 228 238 268	798540495074
STPT(10)	2374959835870299659	0 2 18 20 60 62 102 104 120 122	914308200312
SPT(13)	2374960120111077167	0 30 36 54 60 96 120 144 180 186 204 210 240	1198548977820
SPT(16)	2374960399060754249	0 12 38 84 114 120 122 138 164 180 182 188 218 264 290 302	1477498654902