Prime p₀= 2506331234927907971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 76 2 10 2 70 2 64 2 (?)
a_n: 0 2 6 8 48 50 126 128 138 140 210 212 276 278
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: 278
Found by: conf [MM]
db: batch=82, k=14, 4 40 76 10 70 64

STPT(12)	2506330465325456387	0 2 60 62 90 92 114 116 144 146 204 206	-769602451584
STPT(10)	2506330584781289807	0 2 30 32 72 74 114 116 144 146	-650146618164
STPT(10)	2506330712589209081	0 2 36 38 78 80 120 122 156 158	-522338698890
SPT(16)	2506330762399450229	0 12 14 20 38 74 174 182 270 278 378 414 432 438 440 452	-472528457742
TPT(14)	2506330852883406089	0 2 30 32 60 62 78 80 90 92 210 212 288 290	-382044501882
SPT(16)	2506331148485204993	0 30 60 66 84 140 198 206 228 236 294 350 368 374 404 434	-86442702978
SPT(16)	2506331315179570223	0 14 38 90 98 140 146 164 210 228 234 276 284 336 360 374	80251662252
SPT(16)	2506331568989825449	0 4 22 52 88 120 148 168 214 234 262 294 330 360 378 382	334061917478
SPT(16)	2506331934302430953	0 8 60 110 120 164 228 246 248 266 330 374 384 434 486 494	699374522982
SPT(16)	2506332172688508079	0 4 18 40 42 54 108 130 132 154 208 220 222 244 258 262	937760600108
SPT(16)	2506332286788441847	0 30 40 42 46 84 156 172 264 280 352 390 394 396 406 436	1051860533876