Prime p₀= 2428575894392592311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 40 2 46 2 10 2 64 2 (?)
a_n: 0 2 6 8 78 80 120 122 168 170 180 182 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 4 70 40 46 10 64

STPT(10)	2428574640713786441	0 2 30 32 60 62 90 92 120 122	-1253678805870
SPT(18)	2428574973882071909	0 30 42 44 90 168 180 188 200 252 264 272 284 362 408 410 422 452	-920510520402
SPT(16)	2428574989405411877	0 24 62 66 84 86 150 156 200 206 270 272 290 294 332 356	-904987180434
STPT(10)	2428575221360877131	0 2 6 8 48 50 90 92 96 98	-673031715180
STPT(10)	2428575747794616389	0 2 12 14 30 32 48 50 60 62	-146597975922
SPT(16)	2428575877321227251	0 18 38 56 80 92 122 150 158 186 216 228 252 270 290 308	-17071365060
STPT(10)	2428576050432516071	0 2 6 8 48 50 90 92 96 98	156039923760
SPT(16)	2428576059360332801	0 12 50 62 152 168 176 252 266 342 350 366 456 468 506 518	164967740490
SPT(16)	2428576068666626017	0 24 66 76 100 126 150 154 222 226 250 276 300 310 352 376	174274033706
SPT(16)	2428576324783335863	0 24 48 54 68 104 164 174 230 240 300 336 350 356 380 404	430390743552
SPT(16)	2428576347509957149	0 52 70 84 102 112 124 142 150 168 180 190 208 222 240 292	453117364838