Prime p₀= 957426032102729729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 64 2 10 2 196 2 58 2 (?)
a_n: 0 2 12 14 72 74 138 140 150 152 348 350 408 410
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: 410
Found by: arkiss
db: batch=76, k=14, 10 58 64 10 196 58

SPT(16)	957425087781783251	0 8 42 50 102 108 122 126 152 156 170 176 228 236 270 278	-944320946478
SPT(16)	957425204302296187	0 16 42 52 54 76 100 156 160 216 240 262 264 274 300 316	-827800433542
TPT(14)	957425220432553757	0 2 24 26 42 44 84 86 162 164 234 236 252 254	-811670175972
SPT(16)	957425501716434469	0 42 64 94 102 112 160 168 214 222 270 280 288 318 340 382	-530386295260
SPT(16)	957425569717349099	0 8 12 38 72 104 122 132 170 180 198 230 264 290 294 302	-462385380630
TPT(14)	957425967531676217	0 2 24 26 42 44 54 56 84 86 210 212 240 242	-64571053512
STPT(10)	957426254510193077	0 2 30 32 42 44 54 56 84 86	222407463348
SPT(16)	957426318282566689	0 112 124 154 162 174 190 222 232 264 280 292 300 330 342 454	286179836960
SPT(16)	957426778317077867	0 30 44 86 96 192 242 264 392 414 464 560 570 612 626 656	746214348138
SPT(16)	957426844674040561	0 18 28 36 100 120 130 148 168 186 196 216 280 288 298 316	812571310832
TPT(14)	957427068173150669	0 2 90 92 132 134 180 182 222 224 402 404 468 470	1036070420940