Prime p₀= 2625242281598477969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 22 2 34 2 220 2 40 2 (?)
a_n: 0 2 108 110 138 140 162 164 198 200 420 422 462 464
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: 464
Found by: Dirk Broer
db: batch=82, k=14, 106 28 22 34 220 40

TPT(14)	2625240942182572487	0 2 72 74 90 92 102 104 222 224 294 296 300 302	-1339415905482
SPT(16)	2625241066961753521	0 88 106 112 162 310 312 336 352 376 378 526 576 582 600 688	-1214636724448
SPT(16)	2625241336966939487	0 2 12 24 56 60 80 132 164 216 236 240 272 284 294 296	-944631538482
SPT(16)	2625241391105806553	0 14 26 36 78 114 146 156 188 198 230 266 308 318 330 344	-890492671416
STPT(10)	2625241458337779641	0 2 6 8 48 50 90 92 96 98	-823260698328
TPT(14)	2625241553959511831	0 2 66 68 78 80 120 122 240 242 246 248 276 278	-727638966138
STPT(10)	2625242443260330539	0 2 48 50 60 62 72 74 120 122	161661852570
SPT(16)	2625242692849024097	0 6 24 120 134 192 260 276 290 306 374 432 446 542 560 566	411250546128
SPT(16)	2625242985039382031	0 2 60 78 98 126 146 200 228 282 302 330 350 368 426 428	703440904062
STPT(10)	2625243127270652561	0 2 30 32 78 80 126 128 156 158	845672174592
SPT(16)	2625243198801111299	0 8 48 54 80 162 182 224 228 270 290 372 398 404 444 452	917202633330