Prime p₀= 2710517648481686117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 88 2 4 2 70 2 16 2 (?)
a_n: 0 2 72 74 84 86 174 176 180 182 252 254 270 272
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: fzs600
db: batch=82, k=14, 70 10 88 4 70 16

STPT(10)	2710516858574264807	0 2 12 14 72 74 132 134 144 146	-789907421310
SPT(16)	2710516879256121109	0 12 72 102 144 150 168 180 352 364 382 388 430 460 520 532	-769225565008
SPT(16)	2710517056828663067	0 12 14 32 56 66 96 122 174 200 230 240 264 282 284 296	-591653023050
STPT(10)	2710517057977124519	0 2 12 14 30 32 48 50 60 62	-590504561598
SPT(16)	2710517137861653179	0 2 14 48 90 92 104 264 338 498 510 512 554 588 600 602	-510620032938
STPT(10)	2710517423061218591	0 2 6 8 18 20 30 32 36 38	-225420467526
STPT(10)	2710518004867137761	0 2 6 8 18 20 30 32 36 38	356385451644
SPT(16)	2710518008615540759	0 84 132 150 164 168 198 210 212 224 254 258 272 290 338 422	360133854642
STPT(10)	2710518085986143087	0 2 30 32 72 74 114 116 144 146	437504456970
STPT(10)	2710518929838378479	0 2 18 20 30 32 42 44 60 62	1281356692362
SPT(16)	2710519241360239943	0 14 36 50 56 128 134 170 174 210 216 288 294 308 330 344	1592878553826