Prime p₀= 2125131937527073619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 58 2 4 2 100 2 16 2 (?)
a_n: 0 2 60 62 72 74 132 134 138 140 240 242 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 58 10 58 4 100 16

SPT(16)	2125130274485200483	0 18 30 54 96 154 190 204 250 264 300 358 400 424 436 454	-1663041873136
SPT(16)	2125130489377001111	0 18 96 126 150 152 206 210 218 222 276 278 302 332 410 428	-1448150072508
STPT(10)	2125130679083578259	0 2 30 32 60 62 90 92 120 122	-1258443495360
STPT(10)	2125131309901956359	0 2 90 92 150 152 210 212 300 302	-627625117260
SPT(16)	2125131338222407121	0 12 158 176 210 216 222 228 260 266 272 278 312 330 476 488	-599304666498
STPT(10)	2125131355651714349	0 2 30 32 60 62 90 92 120 122	-581875359270
SPT(16)	2125131994303044941	0 32 36 78 86 140 168 212 216 260 288 342 350 392 396 428	56775971322
SPT(16)	2125132552032339587	0 20 26 30 50 80 86 126 260 300 306 336 356 360 366 386	614505265968
SPT(16)	2125133015354047009	0 10 22 48 54 78 82 90 112 120 124 148 154 180 192 202	1077826973390
TPT(14)	2125133103322122107	0 2 12 14 54 56 84 86 90 92 132 134 240 242	1165795048488
STPT(10)	2125133188460855777	0 2 12 14 42 44 72 74 84 86	1250933782158