Prime p₀= 1539828198473370809 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 10 2 28 2 46 2 10 2 (?)
a_n: 0 2 42 44 78 80 90 92 120 122 168 170 180 182
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: 182
Found by: crashtech
db: batch=78, k=14, 40 34 10 28 46 10

STPT(10)	1539826953687066137	0 2 30 32 60 62 90 92 120 122	-1244786304672
STPT(10)	1539826985150114987	0 2 42 44 72 74 102 104 144 146	-1213323255822
SPT(16)	1539827085754235123	0 6 14 48 66 104 108 180 224 296 300 338 356 390 398 404	-1112719135686
SPT(16)	1539827162454290147	0 42 54 72 86 92 102 120 176 194 204 210 224 242 254 296	-1036019080662
SPT(16)	1539827503051679669	0 14 18 32 102 128 150 158 174 182 204 230 300 314 318 332	-695421691140
SPT(16)	1539827819575456087	0 66 96 112 130 136 172 232 234 294 330 336 354 370 400 466	-378897914722
SPT(13)	1539828286930455527	0 12 42 54 102 120 132 144 162 210 222 252 264	88457084718
TPT(14)	1539828905140148297	0 2 42 44 54 56 132 134 264 266 342 344 432 434	706666777488
TPT(14)	1539829115116732157	0 2 42 44 54 56 90 92 102 104 174 176 180 182	916643361348
STPT(10)	1539829311918043187	0 2 30 32 42 44 54 56 84 86	1113444672378
SPT(16)	1539829520908410553	0 6 70 78 84 90 96 180 184 268 274 280 286 294 358 364	1322435039744