Prime p₀= 2567088806010001499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 4 2 28 2 52 2 64 2 (?)
a_n: 0 2 18 20 42 44 48 50 78 80 132 134 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 16 22 4 28 52 64

SPT(13)	2567087052907610333	0 6 60 66 126 144 150 156 174 234 240 294 300	-1753102391166
TPT(14)	2567087277649011371	0 2 60 62 78 80 90 92 156 158 366 368 378 380	-1528360990128
STPT(10)	2567087578821328391	0 2 6 8 48 50 90 92 96 98	-1227188673108
SPT(16)	2567087630779316783	0 20 26 48 140 144 158 186 188 216 230 234 326 348 354 374	-1175230684716
SPT(16)	2567088101579658737	0 42 44 90 92 110 132 224 252 344 366 384 386 432 434 476	-704430342762
STPT(10)	2567088280886740979	0 2 18 20 30 32 42 44 60 62	-525123260520
STPT(10)	2567088903908301467	0 2 30 32 60 62 90 92 120 122	97898299968
SPT(16)	2567089061870196023	0 20 26 30 54 56 80 96 98 114 138 140 164 168 174 194	255860194524
SPT(16)	2567089085242249241	0 38 48 90 122 126 168 216 242 290 332 336 368 410 420 458	279232247742
SPT(16)	2567089164592184117	0 32 56 86 132 140 210 240 296 326 396 404 450 480 504 536	358582182618
SPT(16)	2567089174112108677	0 6 12 42 52 66 132 142 150 160 226 240 250 280 286 292	368102107178