Prime p₀= 2525910898544261309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 268 2 28 2 34 2 40 2 40 2 (?)
a_n: 0 2 42 44 312 314 342 344 378 380 420 422 462 464
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: RFGuy_KCCO
db: batch=82, k=14, 40 268 28 34 40 40

SPT(16)	2525909251369436311	0 12 16 52 70 136 192 208 240 256 312 378 396 432 436 448	-1647174824998
SPT(16)	2525909474543376641	0 12 20 42 56 102 132 152 186 206 236 282 296 318 326 338	-1424000884668
STPT(10)	2525909670299501567	0 2 12 14 72 74 132 134 144 146	-1228244759742
SPT(16)	2525909733018329929	0 40 88 102 148 162 178 190 192 204 220 234 280 294 342 382	-1165525931380
SPT(16)	2525909886611689471	0 10 18 40 76 82 106 132 166 192 216 222 258 280 288 298	-1011932571838
SPT(16)	2525909935151287183	0 6 114 136 184 196 274 288 316 330 408 420 468 490 598 604	-963392974126
SPT(16)	2525910984951252823	0 28 36 46 64 84 94 114 220 240 250 270 288 298 306 334	86406991514
SPT(13)	2525910989519845517	0 6 30 66 84 90 120 150 156 174 210 234 240	90975584208
SPT(16)	2525911046725521857	0 6 36 80 114 122 140 146 240 246 264 272 306 350 380 386	148181260548
STPT(10)	2525911090834119029	0 2 18 20 30 32 42 44 60 62	192289857720
SPT(16)	2525911871063540261	0 2 26 30 32 80 102 108 200 206 228 276 278 282 306 308	972519278952