Prime p₀= 2421310452197323889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 310 2 64 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 312 314 378 380 402 404 408 410 432 434 450 452
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: 452
Found by: arkiss
db: batch=82, k=14, 310 64 22 4 22 16

STPT(10)	2421308831963827367	0 2 42 44 72 74 102 104 144 146	-1620233496522
STPT(10)	2421309144387407369	0 2 18 20 30 32 42 44 60 62	-1307809916520
SPT(20)	2421309282184036787	0 2 44 54 72 140 212 240 296 330 386 420 476 504 576 644 662 672 714 716	-1170013287102
SPT(18)	2421309828172955341	0 12 18 52 88 90 96 100 130 138 168 172 178 180 216 250 256 268	-624024368548
STPT(10)	2421310114176045119	0 2 18 20 30 32 42 44 60 62	-338021278770
SPT(16)	2421310364288110931	0 72 110 116 126 168 188 282 296 390 410 452 462 468 506 578	-87909212958
SPT(16)	2421310924808345393	0 6 54 96 104 140 174 186 224 236 270 306 314 356 404 410	472611021504
SPT(16)	2421312514933834259	0 2 62 132 138 140 180 212 258 290 330 332 338 408 468 470	2062736510370
STPT(10)	2421312591224011151	0 2 6 8 18 20 30 32 36 38	2139026687262
SPT(16)	2421312625540317493	0 6 10 24 48 66 70 90 154 174 178 196 220 234 238 244	2173342993604
SPT(16)	2421312659779169011	0 10 42 72 76 120 190 192 196 198 268 312 316 346 378 388	2207581845122