Prime p₀= 2529858895586269031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 58 2 40 2 76 2 82 2 16 2 (?)
a_n: 0 2 96 98 156 158 198 200 276 278 360 362 378 380
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: 380
Found by: [SG-FC] hl
db: batch=82, k=14, 94 58 40 76 82 16

SPT(16)	2529857442673187161	0 30 40 100 160 166 196 210 316 330 360 366 426 486 496 526	-1452913081870
SPT(16)	2529857592298372073	0 6 20 30 104 108 134 150 194 210 236 240 314 324 338 344	-1303287896958
SPT(13)	2529857868459166697	0 132 162 180 204 264 342 420 480 504 522 552 684	-1027127102334
STPT(10)	2529858090717993197	0 2 30 32 42 44 54 56 84 86	-804868275834
STPT(10)	2529858650318582027	0 2 30 32 42 44 54 56 84 86	-245267687004
STPT(10)	2529858809391420107	0 2 30 32 42 44 54 56 84 86	-86194848924
TPT(14)	2529859031839197899	0 2 12 14 42 44 78 80 150 152 162 164 222 224	136252928868
SPT(16)	2529859409460492169	0 4 42 60 82 144 154 172 222 240 250 312 334 352 390 394	513874223138
STPT(10)	2529859613709400097	0 2 30 32 72 74 114 116 144 146	718123131066
STPT(12)	2529859907684083517	0 2 54 56 90 92 174 176 210 212 264 266	1012097814486
SPT(16)	2529860448886058653	0 4 24 46 60 78 84 136 198 250 256 274 288 310 330 334	1553299789622