Prime p₀= 819834039568510037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 232 2 136 2 46 2 10 2 16 2 40 2 (?)
a_n: 0 2 234 236 372 374 420 422 432 434 450 452 492 494
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: 494
Found by: GLeeM
db: batch=73, k=14, 232 136 46 10 16 40

STPT(10)	819833300880702371	0 2 6 8 48 50 90 92 96 98	-738687807666
SPT(16)	819833607643061171	0 20 90 108 150 182 210 216 272 278 306 338 380 398 468 488	-431925448866
STPT(10)	819833689026923279	0 2 42 44 60 62 78 80 120 122	-350541586758
STPT(10)	819833823356840837	0 2 30 32 42 44 54 56 84 86	-216211669200
SPT(16)	819833907475479961	0 42 52 82 88 100 108 138 142 172 180 192 198 228 238 280	-132093030076
STPT(10)	819834002418686417	0 2 30 32 42 44 54 56 84 86	-37149823620
SPT(16)	819834296190898097	0 6 54 72 74 120 152 170 186 204 236 282 284 302 350 356	256622388060
SPT(16)	819834406991493161	0 6 8 42 56 78 86 90 158 162 170 192 206 240 242 248	367422983124
STPT(10)	819834410948294627	0 2 12 14 42 44 72 74 84 86	371379784590
SPT(16)	819834667932833387	0 2 6 20 30 32 44 72 134 162 174 176 186 200 204 206	628364323350
TPT(14)	819835079335281827	0 2 30 32 42 44 54 56 72 74 114 116 210 212	1039766771790