Prime p₀= 2343334881631495247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 70 2 10 2 4 2 22 2 4 2 (?)
a_n: 0 2 150 152 222 224 234 236 240 242 264 266 270 272
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: 272
Found by: ChUcK
db: batch=81, k=14, 148 70 10 4 22 4

SPT(16)	2343333840582238409	0 38 44 90 104 114 140 168 170 198 224 234 248 294 300 338	-1041049256838
STPT(10)	2343334058728832381	0 2 36 38 78 80 120 122 156 158	-822902662866
SPT(16)	2343334064862850879	0 72 78 100 138 184 204 232 330 358 378 424 462 484 490 562	-816768644368
SPT(16)	2343334205583838531	0 18 60 88 120 148 150 172 228 250 252 280 312 340 382 400	-676047656716
SPT(16)	2343334321188482491	0 16 46 58 60 108 160 178 210 228 280 328 330 342 372 388	-560443012756
SPT(16)	2343334759947055517	0 14 26 90 102 152 222 242 264 284 354 404 416 480 492 506	-121684439730
STPT(10)	2343335160984635339	0 2 18 20 30 32 42 44 60 62	279353140092
SPT(16)	2343335406249650233	0 40 64 88 144 148 166 240 304 378 396 400 456 480 504 544	524618154986
STPT(10)	2343335678518058837	0 2 30 32 42 44 54 56 84 86	796886563590
SPT(16)	2343335843528274263	0 6 36 48 84 114 146 170 174 198 230 260 296 308 338 344	961896779016
STPT(10)	2343335906289210527	0 2 30 32 60 62 90 92 120 122	1024657715280