Prime p₀= 2956360973187955997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 34 2 40 2 16 2 22 2 166 2 (?)
a_n: 0 2 144 146 180 182 222 224 240 242 264 266 432 434
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: 434
Found by: [B^S]ABoskovich
db: batch=82, k=14, 142 34 40 16 22 166

STPT(10)	2956360111527981239	0 2 48 50 90 92 132 134 180 182	-861659974758
STPT(10)	2956360243132585097	0 2 54 56 72 74 90 92 144 146	-730055370900
SPT(16)	2956360493165955709	0 12 58 100 120 124 130 142 150 162 168 172 192 234 280 292	-480022000288
SPT(16)	2956360687353408229	0 10 42 58 70 94 108 142 180 214 228 252 264 280 312 322	-285834547768
SPT(16)	2956360843378138957	0 24 40 46 76 96 102 106 150 154 160 180 210 216 232 256	-129809817040
STPT(10)	2956360909601717711	0 2 30 32 60 62 90 92 120 122	-63586238286
SPT(16)	2956361824735992763	0 6 30 100 136 160 166 180 340 354 360 384 420 490 514 520	851548036766
SPT(16)	2956361872863897541	0 16 30 42 52 82 130 138 280 288 336 366 376 388 402 418	899675941544
STPT(10)	2956362517829064959	0 2 18 20 30 32 42 44 60 62	1544641108962
STPT(10)	2956362812861484077	0 2 30 32 102 104 174 176 204 206	1839673528080
SPT(16)	2956363053080405659	0 34 42 52 94 130 192 214 318 340 402 438 480 490 498 532	2079892449662