Prime p₀= 967815030228554021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 22 2 28 2 4 2 10 2 10 2 (?)
a_n: 0 2 66 68 90 92 120 122 126 128 138 140 150 152
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: 152
Found by: stoneageman
db: batch=76, k=14, 64 22 28 4 10 10

SPT(16)	967814473953568133	0 6 90 126 156 170 176 210 260 294 300 314 344 380 464 470	-556274985888
SPT(16)	967814533562425609	0 42 58 78 90 100 120 132 190 202 222 232 244 264 280 322	-496666128412
STPT(10)	967814623219497869	0 2 12 14 30 32 48 50 60 62	-407009056152
SPT(16)	967814871250668737	0 2 14 20 24 30 44 90 116 162 176 182 186 192 204 206	-158977885284
SPT(16)	967814881423813219	0 18 30 40 58 70 108 112 168 172 210 222 240 250 262 280	-148804740802
STPT(10)	967815023200754759	0 2 18 20 30 32 42 44 60 62	-7027799262
TPT(14)	967815037185115367	0 2 42 44 54 56 162 164 204 206 210 212 264 266	6956561346
SPT(20)	967815140234444261	0 2 12 26 36 60 78 92 138 168 170 200 246 260 278 302 312 326 336 338	110005890240
SPT(16)	967815236360940827	0 32 90 170 182 194 212 230 234 252 270 282 294 374 432 464	206132386806
SPT(16)	967815396217119817	0 30 34 66 82 90 100 142 234 276 286 294 310 342 346 376	365988565796
TPT(14)	967815522938053367	0 2 54 56 84 86 114 116 144 146 180 182 282 284	492709499346