Prime p₀= 2350345015212923621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 28 2 106 2 70 2 16 2 22 2 (?)
a_n: 0 2 198 200 228 230 336 338 408 410 426 428 450 452
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: JayPi
db: batch=81, k=14, 196 28 106 70 16 22

TPT(14)	2350344326880226799	0 2 48 50 78 80 90 92 150 152 288 290 348 350	-688332696822
STPT(10)	2350344629446651307	0 2 30 32 42 44 54 56 84 86	-385766272314
SPT(16)	2350344697677512941	0 42 48 58 100 108 130 132 136 138 160 168 210 220 226 268	-317535410680
STPT(10)	2350344718355939861	0 2 6 8 48 50 90 92 96 98	-296856983760
SPT(16)	2350344780825982907	0 14 32 50 66 84 96 110 126 140 152 170 186 204 222 236	-234386940714
TPT(14)	2350345007733849899	0 2 42 44 90 92 168 170 192 194 258 260 318 320	-7479073722
STPT(10)	2350345229973084611	0 2 36 38 78 80 120 122 156 158	214760160990
STPT(10)	2350345234871750717	0 2 42 44 72 74 102 104 144 146	219658827096
SPT(16)	2350345298115874781	0 30 36 42 50 56 152 168 170 186 282 288 296 302 308 338	282902951160
SPT(16)	2350346124823782353	0 24 30 78 90 98 146 156 218 228 276 284 296 344 350 374	1109610858732
SPT(16)	2350346480483104849	0 72 88 240 252 264 282 298 324 340 358 370 382 534 550 622	1465270181228