Prime p₀= 2568411038426803907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 118 2 166 2 16 2 (?)
a_n: 0 2 30 32 42 44 84 86 204 206 372 374 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 28 10 40 118 166 16

STPT(10)	2568407742407180489	0 2 12 14 30 32 48 50 60 62	-3296019623418
STPT(10)	2568408895004052941	0 2 36 38 78 80 120 122 156 158	-2143422750966
SPT(16)	2568409264442914517	0 32 36 44 84 86 92 150 176 234 240 242 282 290 294 326	-1773983889390
SPT(16)	2568409495046219911	0 16 28 72 102 106 132 190 198 256 282 286 316 360 372 388	-1543380583996
SPT(16)	2568409725850631879	0 102 132 140 144 182 242 324 338 420 480 518 522 530 560 662	-1312576172028
SPT(16)	2568410678385637259	0 14 30 38 74 110 114 210 212 308 312 348 384 392 408 422	-360041166648
SPT(16)	2568411204110413159	0 10 12 24 70 82 114 142 180 208 240 252 298 310 312 322	165683609252
STPT(10)	2568411478256327621	0 2 30 32 78 80 126 128 156 158	439829523714
SPT(16)	2568411636183778943	0 20 24 38 48 56 74 84 200 210 228 236 246 260 264 284	597756975036
TPT(14)	2568412259527371197	0 2 90 92 174 176 204 206 264 266 384 386 420 422	1221100567290
STPT(10)	2568412430389094687	0 2 30 32 72 74 114 116 144 146	1391962290780