Prime p₀= 968473454479213301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 178 2 10 2 40 2 (?)
a_n: 0 2 36 38 48 50 66 68 246 248 258 260 300 302
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: 302
Found by: Theadalus
db: batch=76, k=14, 34 10 16 178 10 40

SPT(16)	968472113130337469	0 12 14 68 92 98 114 134 198 218 234 240 264 318 320 332	-1341348875832
SPT(16)	968472288553701493	0 4 6 28 58 100 106 150 154 198 204 246 276 298 300 304	-1165925511808
STPT(10)	968472550423946927	0 2 60 62 72 74 84 86 144 146	-904055266374
STPT(10)	968472588777262139	0 2 18 20 30 32 42 44 60 62	-865701951162
SPT(16)	968472848779205879	0 14 54 72 98 102 152 204 278 330 380 384 410 428 468 482	-605700007422
SPT(16)	968473027410120667	0 10 40 42 66 70 102 106 186 190 222 226 250 252 282 292	-427069092634
STPT(10)	968473533928030157	0 2 24 26 42 44 60 62 84 86	79448816856
STPT(10)	968473610485929167	0 2 42 44 72 74 102 104 144 146	156006715866
TPT(14)	968473819720519559	0 2 72 74 102 104 150 152 168 170 210 212 252 254	365241306258
SPT(16)	968473889970120563	0 78 108 150 156 200 228 248 408 428 456 500 506 548 578 656	435490907262
SPT(16)	968474009571095767	0 22 54 84 112 130 132 160 384 412 414 432 460 490 522 544	555091882466