Prime p₀= 2782719311776958009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 238 2 76 2 52 2 34 2 22 2 16 2 (?)
a_n: 0 2 240 242 318 320 372 374 408 410 432 434 450 452
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: [SG-FC] hl
db: batch=82, k=14, 238 76 52 34 22 16

SPT(16)	2782718428207564697	0 14 30 90 110 132 140 152 162 174 182 204 224 284 300 314	-883569393312
SPT(16)	2782718549511789673	0 16 36 70 88 100 108 156 178 226 234 246 264 298 318 334	-762265168336
STPT(10)	2782718863553635211	0 2 6 8 18 20 30 32 36 38	-448223322798
SPT(16)	2782718966316858133	0 6 70 76 138 168 190 210 256 276 298 328 390 396 460 466	-345460099876
STPT(10)	2782719152717947109	0 2 18 20 30 32 42 44 60 62	-159059010900
SPT(16)	2782719185228321453	0 44 156 186 200 210 228 246 248 266 284 294 308 338 450 494	-126548636556
SPT(16)	2782719347390152123	0 136 154 174 178 244 246 258 316 328 330 396 400 420 438 574	35613194114
SPT(16)	2782719411902481473	0 8 30 36 144 146 156 158 186 188 198 200 308 314 336 344	100125523464
STPT(10)	2782719712925804591	0 2 36 38 78 80 120 122 156 158	401148846582
STPT(10)	2782720111762175867	0 2 42 44 102 104 162 164 204 206	799985217858
SPT(16)	2782720760524348723	0 4 66 76 84 94 114 154 216 256 276 286 294 304 366 370	1448747390714