Prime p₀= 2348277090383901317 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 28 2 16 2 130 2 46 2 (?)
a_n: 0 2 60 62 84 86 114 116 132 134 264 266 312 314
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: 314
Found by: Landjunge
db: batch=81, k=14, 58 22 28 16 130 46

SPT(16)	2348276511257646947	0 14 50 66 134 152 180 182 354 356 384 402 470 486 522 536	-579126254370
SPT(16)	2348276622050687221	0 36 82 90 130 166 196 222 280 306 336 372 412 420 466 502	-468333214096
SPT(16)	2348276628201423811	0 58 72 82 150 156 168 198 220 250 262 268 336 346 360 418	-462182477506
TPT(14)	2348276923466504057	0 2 24 26 30 32 42 44 54 56 144 146 150 152	-166917397260
STPT(10)	2348277045796137227	0 2 30 32 72 74 114 116 144 146	-44587764090
TPT(14)	2348277080623422449	0 2 48 50 90 92 132 134 138 140 198 200 210 212	-9760478868
TPT(14)	2348277245643720269	0 2 30 32 60 62 102 104 168 170 270 272 300 302	155259818952
STPT(10)	2348277290415874757	0 2 30 32 60 62 90 92 120 122	200031973440
SPT(16)	2348277460521322349	0 8 54 74 158 192 194 204 248 258 260 294 378 398 444 452	370137421032
SPT(16)	2348277532901942287	0 6 16 34 42 66 90 114 172 196 220 244 252 270 280 286	442518040970
SPT(16)	2348277933732710093	0 14 30 48 60 86 98 170 174 246 258 284 296 314 330 344	843348808776