Prime p₀= 957424676185174397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 94 2 112 2 28 2 178 2 (?)
a_n: 0 2 102 104 114 116 210 212 324 326 354 356 534 536
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: 536
Found by: stoneageman
db: batch=76, k=14, 100 10 94 112 28 178

STPT(10)	957423115522267151	0 2 6 8 18 20 30 32 36 38	-1560662907246
STPT(10)	957423426680940389	0 2 18 20 60 62 102 104 120 122	-1249504234008
SPT(16)	957423469449103117	0 10 24 60 70 94 96 126 184 214 216 240 250 286 300 310	-1206736071280
STPT(10)	957423806487112631	0 2 6 8 18 20 30 32 36 38	-869698061766
SPT(18)	957424482561498437	0 2 6 62 104 114 134 140 180 206 246 252 272 282 324 380 384 386	-193623675960
SPT(16)	957424661229789887	0 14 24 30 50 56 60 80 120 140 144 150 170 176 186 200	-14955384510
TPT(14)	957424738363842647	0 2 84 86 90 92 150 152 174 176 192 194 294 296	62178668250
SPT(16)	957424800600547381	0 36 72 82 88 100 112 120 148 156 168 180 186 196 232 268	124415372984
SPT(16)	957424880266280537	0 12 14 24 74 90 104 116 300 312 326 342 392 402 404 416	204081106140
SPT(16)	957425087781783251	0 8 42 50 102 108 122 126 152 156 170 176 228 236 270 278	411596608854
SPT(16)	957425204302296187	0 16 42 52 54 76 100 156 160 216 240 262 264 274 300 316	528117121790