Prime p₀= 957133731917353337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 46 2 22 2 28 2 28 2 (?)
a_n: 0 2 12 14 42 44 90 92 114 116 144 146 174 176
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: 176
Found by: Theadalus
db: batch=76, k=14, 10 28 46 22 28 28

SPT(16)	957132442162334651	0 6 12 26 38 42 56 66 152 162 176 180 192 206 212 218	-1289755018686
SPT(16)	957132564223893293	0 56 176 186 188 210 216 230 246 260 266 288 290 300 420 476	-1167693460044
SPT(16)	957132599166716683	0 28 36 58 78 90 96 148 306 358 364 376 396 418 426 454	-1132750636654
SPT(16)	957133320404298689	0 12 60 78 108 138 150 152 168 170 182 212 242 260 308 320	-411513054648
TPT(14)	957133422925173797	0 2 30 32 42 44 90 92 144 146 174 176 240 242	-308992179540
SPT(16)	957133652239877327	0 12 14 20 26 92 132 152 174 194 234 300 306 312 314 326	-79677476010
STPT(10)	957133738251940157	0 2 30 32 42 44 54 56 84 86	6334586820
STPT(10)	957133756941184577	0 2 60 62 72 74 84 86 144 146	25023831240
SPT(16)	957134138782425797	0 12 42 50 72 74 96 120 176 200 222 224 246 254 284 296	406865072460
SPT(16)	957134779402203953	0 66 108 116 200 206 306 314 480 488 588 594 678 686 728 794	1047484850616
SPT(16)	957134923959084127	0 46 54 64 70 76 130 186 190 246 300 306 312 322 330 376	1192041730790