Prime p₀= 2256801830860677431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 28 2 76 2 46 2 22 2 (?)
a_n: 0 2 6 8 60 62 90 92 168 170 216 218 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=14, 4 52 28 76 46 22

STPT(10)	2256800147722579577	0 2 30 32 42 44 54 56 84 86	-1683138097854
STPT(10)	2256800150620577447	0 2 30 32 72 74 114 116 144 146	-1680240099984
STPT(10)	2256800894415452921	0 2 6 8 48 50 90 92 96 98	-936445224510
STPT(10)	2256801187995321167	0 2 30 32 72 74 114 116 144 146	-642865356264
SPT(16)	2256801272691835099	0 40 60 88 132 142 192 208 312 328 378 388 432 460 480 520	-558168842332
SPT(16)	2256801285416944411	0 88 90 136 190 292 340 358 360 378 426 528 582 628 630 718	-545443733020
SPT(16)	2256801862891972469	0 54 80 108 134 162 164 234 248 318 320 348 374 402 428 482	32031295038
SPT(16)	2256801964032199847	0 50 72 86 116 156 186 264 302 380 410 450 480 494 516 566	133171522416
STPT(10)	2256802418905748471	0 2 6 8 18 20 30 32 36 38	588045071040
STPT(10)	2256802640387381687	0 2 12 14 42 44 72 74 84 86	809526704256
STPT(10)	2256802896806530151	0 2 30 32 78 80 126 128 156 158	1065945852720