Prime p₀= 2569464905981411357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 22 2 28 2 28 2 16 2 130 2 (?)
a_n: 0 2 150 152 174 176 204 206 234 236 252 254 384 386
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: 386
Found by: RFGuy_KCCO
db: batch=82, k=14, 148 22 28 28 16 130

STPT(10)	2569463573258190779	0 2 18 20 30 32 42 44 60 62	-1332723220578
STPT(10)	2569463590203853697	0 2 12 14 72 74 132 134 144 146	-1315777557660
SPT(16)	2569463889732835903	0 70 78 90 96 114 118 148 216 246 250 268 274 286 294 364	-1016248575454
SPT(16)	2569463969058653057	0 42 56 86 140 146 156 186 296 326 336 342 396 426 440 482	-936922758300
SPT(16)	2569464034880159587	0 46 66 70 112 136 156 202 210 256 276 300 342 346 366 412	-871101251770
SPT(16)	2569464570555623651	0 42 50 78 92 96 98 138 320 360 362 366 380 408 416 458	-335425787706
STPT(10)	2569465141655297057	0 2 30 32 42 44 54 56 84 86	235673885700
SPT(18)	2569465157796491657	0 114 120 134 162 224 260 300 314 330 344 384 420 482 510 524 530 644	251815080300
STPT(10)	2569465331945877191	0 2 30 32 78 80 126 128 156 158	425964465834
STPT(10)	2569465579386127061	0 2 6 8 48 50 90 92 96 98	673404715704
STPT(10)	2569465734840366881	0 2 30 32 78 80 126 128 156 158	828858955524