Prime p₀= 2356524108382577687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 58 2 88 2 16 2 16 2 (?)
a_n: 0 2 12 14 54 56 114 116 204 206 222 224 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 10 40 58 88 16 16

TPT(14)	2356522445049618401	0 2 48 50 96 98 138 140 180 182 210 212 216 218	-1663332959286
TPT(14)	2356522634359467401	0 2 36 38 90 92 120 122 156 158 198 200 216 218	-1474023110286
STPT(10)	2356522792257562307	0 2 30 32 120 122 210 212 240 242	-1316125015380
SPT(16)	2356522876473867553	0 28 34 46 60 148 166 226 228 288 306 394 408 420 426 454	-1231908710134
SPT(16)	2356523296379931097	0 40 72 84 130 132 196 202 234 240 304 306 352 364 396 436	-812002646590
SPT(16)	2356523646769031963	0 20 38 60 84 126 236 278 306 348 458 500 524 546 564 584	-461613545724
SPT(16)	2356524384614479229	0 8 14 62 90 98 108 120 152 164 174 182 210 258 264 272	276231901542
STPT(10)	2356524524339636471	0 2 6 8 18 20 30 32 36 38	415957058784
STPT(10)	2356524548715820919	0 2 18 20 60 62 102 104 120 122	440333243232
SPT(16)	2356524831259901581	0 88 112 130 160 180 198 222 298 322 340 360 390 408 432 520	722877323894
SPT(16)	2356524978906528461	0 42 78 110 132 162 188 230 240 282 308 338 360 392 428 470	870523950774