Prime p₀= 1238033995642992257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 70 2 76 2 46 2 148 2 40 2 (?)
a_n: 0 2 12 14 84 86 162 164 210 212 360 362 402 404
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: 404
Found by: Paul
db: batch=77, k=14, 10 70 76 46 148 40

STPT(10)	1238032879094045849	0 2 42 44 90 92 138 140 180 182	-1116548946408
STPT(10)	1238033201378848541	0 2 6 8 18 20 30 32 36 38	-794264143716
SPT(16)	1238033227415381239	0 10 84 90 154 162 178 192 220 234 250 258 322 328 402 412	-768227611018
SPT(16)	1238033910201916033	0 24 34 78 94 100 126 136 138 148 174 180 196 240 250 274	-85441076224
SPT(16)	1238033931935045537	0 26 36 56 122 152 162 180 272 290 300 330 396 416 426 452	-63707946720
SPT(16)	1238033949369064363	0 10 24 66 70 88 118 168 256 306 336 354 358 400 414 424	-46273927894
STPT(10)	1238034038120038007	0 2 30 32 60 62 90 92 120 122	42477045750
SPT(16)	1238034702606656849	0 98 114 152 164 180 242 252 350 360 422 438 450 488 504 602	706963664592
STPT(10)	1238035393955803139	0 2 48 50 90 92 132 134 180 182	1398312810882
STPT(10)	1238035596236285027	0 2 30 32 42 44 54 56 84 86	1600593292770
STPT(10)	1238035716181795577	0 2 12 14 72 74 132 134 144 146	1720538803320