Prime p₀= 944347910801306819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 28 2 46 2 202 2 16 2 (?)
a_n: 0 2 42 44 90 92 120 122 168 170 372 374 390 392
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: HenkM
db: batch=76, k=14, 40 46 28 46 202 16

SPT(16)	944346672843923399	0 32 44 78 92 108 140 162 200 222 254 270 284 318 330 362	-1237957383420
SPT(16)	944346803423700283	0 34 60 126 154 178 190 208 216 234 246 270 298 364 390 424	-1107377606536
STPT(10)	944347354994064641	0 2 6 8 48 50 90 92 96 98	-555807242178
SPT(16)	944347407622494751	0 18 40 42 52 72 88 102 148 162 178 198 208 210 232 250	-503178812068
STPT(10)	944347583997227747	0 2 30 32 42 44 54 56 84 86	-326804079072
STPT(10)	944347909415743661	0 2 6 8 48 50 90 92 96 98	-1385563158
STPT(12)	944348144560811477	0 2 54 56 60 62 84 86 90 92 144 146	233759504658
SPT(16)	944348144733020927	0 86 132 144 152 162 194 282 284 372 404 414 422 434 480 566	233931714108
STPT(10)	944348729491215467	0 2 12 14 42 44 72 74 84 86	818689908648
SPT(16)	944349079681577371	0 16 18 28 42 58 106 156 172 222 270 286 300 310 312 328	1168880270552
STPT(10)	944349159181264061	0 2 36 38 78 80 120 122 156 158	1248379957242