Prime p₀= 2340034861498802381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 46 2 40 2 28 2 184 2 (?)
a_n: 0 2 60 62 90 92 138 140 180 182 210 212 396 398
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: 398
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 58 28 46 40 28 184

SPT(16)	2340033459070304903	0 48 66 96 104 114 156 164 180 188 230 240 248 278 296 344	-1402428497478
STPT(10)	2340033603667250549	0 2 42 44 60 62 78 80 120 122	-1257831551832
SPT(18)	2340033698913192377	0 32 42 96 134 140 222 236 270 296 330 344 426 432 470 524 534 566	-1162585610004
SPT(16)	2340034196507781583	0 10 54 66 84 108 144 208 216 280 316 340 358 370 414 424	-664991020798
STPT(10)	2340034787548027697	0 2 30 32 180 182 330 332 360 362	-73950774684
SPT(16)	2340034820726586059	0 14 62 72 84 98 140 150 212 222 264 278 290 300 348 362	-40772216322
SPT(16)	2340034922520520789	0 4 12 54 88 142 144 172 180 208 210 264 298 340 348 352	61021718408
STPT(10)	2340034923518654981	0 2 48 50 108 110 168 170 216 218	62019852600
STPT(10)	2340035286010722239	0 2 42 44 60 62 78 80 120 122	424511919858
STPT(10)	2340035711884868477	0 2 30 32 42 44 54 56 84 86	850386066096
STPT(10)	2340035721940161809	0 2 12 14 90 92 168 170 180 182	860441359428