Prime p₀= 873586633410736769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 70 2 4 2 58 2 22 2 (?)
a_n: 0 2 12 14 30 32 102 104 108 110 168 170 192 194
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: 194
Found by: meadoel
db: batch=73, k=14, 10 16 70 4 58 22

SPT(16)	873585207893049581	0 12 20 42 56 108 132 146 342 356 380 432 446 468 476 488	-1425517687188
SPT(16)	873585450427898183	0 6 48 84 108 126 134 150 164 180 188 206 230 266 308 314	-1182982838586
TPT(14)	873585475863872591	0 2 66 68 78 80 96 98 138 140 210 212 306 308	-1157546864178
SPT(16)	873586003445301499	0 12 42 48 58 82 118 124 168 174 210 234 244 250 280 292	-629965435270
SPT(16)	873586049346425557	0 22 46 90 102 112 114 156 160 202 204 214 226 270 294 316	-584064311212
STPT(12)	873586093106694389	0 2 30 32 42 44 90 92 102 104 132 134	-540304042380
STPT(10)	873586721705108681	0 2 6 8 48 50 90 92 96 98	88294371912
STPT(10)	873586968231161939	0 2 18 20 30 32 42 44 60 62	334820425170
STPT(10)	873587131806063947	0 2 30 32 42 44 54 56 84 86	498395327178
SPT(16)	873587183777286151	0 12 18 46 70 76 90 136 162 208 222 228 252 280 286 298	550366549382
STPT(10)	873587296419997109	0 2 18 20 30 32 42 44 60 62	663009260340