Prime p₀= 929297760074050457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 76 2 40 2 28 2 4 2 22 2 (?)
a_n: 0 2 114 116 192 194 234 236 264 266 270 272 294 296
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: 296
Found by: Theadalus
db: batch=76, k=14, 112 76 40 28 4 22

TPT(14)	929297129335748219	0 2 12 14 72 74 180 182 210 212 252 254 312 314	-630738302238
STPT(10)	929297205652673909	0 2 18 20 30 32 42 44 60 62	-554421376548
STPT(10)	929297214819686861	0 2 30 32 78 80 126 128 156 158	-545254363596
STPT(10)	929297246738042849	0 2 18 20 60 62 102 104 120 122	-513336007608
STPT(10)	929297408106136211	0 2 6 8 18 20 30 32 36 38	-351967914246
SPT(16)	929297442189406523	0 56 90 126 134 146 188 206 258 276 318 330 338 374 408 464	-317884643934
STPT(10)	929297861925671657	0 2 12 14 42 44 72 74 84 86	101851621200
SPT(16)	929297901828270409	0 24 42 52 58 70 120 138 154 172 222 234 240 250 268 292	141754219952
SPT(16)	929298411519875981	0 42 48 50 68 90 110 146 162 198 218 240 258 260 266 308	651445825524
SPT(16)	929298455296435123	0 4 6 70 126 138 154 196 258 300 316 328 384 448 450 454	695222384666
SPT(16)	929298797941858297	0 4 6 10 46 72 90 126 160 196 214 240 276 280 282 286	1037867807840