Prime p₀= 2469428696886179207 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 226 2 82 2 94 2 40 2 10 2 (?)
a_n: 0 2 12 14 240 242 324 326 420 422 462 464 474 476
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: 476
Found by: JayPi
db: batch=82, k=14, 10 226 82 94 40 10

SPT(16)	2469426669792792089	0 48 78 84 92 98 120 144 248 272 294 300 308 314 344 392	-2027093387118
STPT(10)	2469427358359098659	0 2 18 20 30 32 42 44 60 62	-1338527080548
SPT(16)	2469427643875996171	0 42 70 90 106 112 148 162 166 180 216 222 238 258 286 328	-1053010183036
SPT(18)	2469427774986751757	0 66 80 90 120 204 210 222 294 302 374 386 392 476 506 516 530 596	-921899427450
SPT(16)	2469428044315528031	0 2 38 60 66 72 102 140 168 206 236 242 248 270 306 308	-652570651176
SPT(16)	2469428476974971509	0 64 100 142 144 160 184 202 210 228 252 268 270 312 348 412	-219911207698
STPT(10)	2469428843379569681	0 2 30 32 78 80 126 128 156 158	146493390474
STPT(10)	2469428843532577019	0 2 42 44 60 62 78 80 120 122	146646397812
STPT(10)	2469429036775021637	0 2 30 32 42 44 54 56 84 86	339888842430
STPT(10)	2469429128062314107	0 2 30 32 42 44 54 56 84 86	431176134900
SPT(16)	2469429333851967607	0 16 22 52 60 70 102 106 150 154 186 196 204 234 240 256	636965788400