Prime p₀= 957425220432553757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 76 2 70 2 16 2 (?)
a_n: 0 2 24 26 42 44 84 86 162 164 234 236 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 22 16 40 76 70 16

TPT(14)	957424676185174397	0 2 102 104 114 116 210 212 324 326 354 356 534 536	-544247379360
TPT(14)	957424738363842647	0 2 84 86 90 92 150 152 174 176 192 194 294 296	-482068711110
SPT(16)	957424800600547381	0 36 72 82 88 100 112 120 148 156 168 180 186 196 232 268	-419832006376
SPT(16)	957424880266280537	0 12 14 24 74 90 104 116 300 312 326 342 392 402 404 416	-340166273220
SPT(16)	957425087781783251	0 8 42 50 102 108 122 126 152 156 170 176 228 236 270 278	-132650770506
SPT(16)	957425204302296187	0 16 42 52 54 76 100 156 160 216 240 262 264 274 300 316	-16130257570
SPT(16)	957425501716434469	0 42 64 94 102 112 160 168 214 222 270 280 288 318 340 382	281283880712
SPT(16)	957425569717349099	0 8 12 38 72 104 122 132 170 180 198 230 264 290 294 302	349284795342
TPT(14)	957425967531676217	0 2 24 26 42 44 54 56 84 86 210 212 240 242	747099122460
TPT(14)	957426032102729729	0 2 12 14 72 74 138 140 150 152 348 350 408 410	811670175972
STPT(10)	957426254510193077	0 2 30 32 42 44 54 56 84 86	1034077639320