Prime p₀= 2565734615120413799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 46 2 82 2 58 2 (?)
a_n: 0 2 12 14 18 20 60 62 108 110 192 194 252 254
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: 254
Found by: RFGuy_KCCO
db: batch=82, k=14, 10 4 40 46 82 58

STPT(10)	2565731735674819079	0 2 18 20 30 32 42 44 60 62	-2879445594720
STPT(10)	2565733257065216219	0 2 18 20 60 62 102 104 120 122	-1358055197580
SPT(16)	2565733443076795471	0 18 42 58 160 190 232 240 340 348 390 420 522 538 562 580	-1172043618328
STPT(10)	2565733611286562081	0 2 78 80 138 140 198 200 276 278	-1003833851718
STPT(10)	2565733816548658211	0 2 30 32 78 80 126 128 156 158	-798571755588
STPT(10)	2565734509204102667	0 2 30 32 72 74 114 116 144 146	-105916311132
STPT(10)	2565734806827645779	0 2 18 20 30 32 42 44 60 62	191707231980
SPT(16)	2565734843574614507	0 12 56 90 92 102 126 152 294 320 344 354 356 390 434 446	228454200708
STPT(10)	2565734843584468739	0 2 42 44 120 122 198 200 240 242	228464054940
SPT(16)	2565735027306004133	0 54 66 86 90 108 128 156 248 276 296 314 318 338 350 404	412185590334
SPT(16)	2565735463254101081	0 42 60 80 168 182 248 272 276 300 366 380 468 488 506 548	848133687282