Prime p₀= 2326005116543869097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 54 56 72 74 120 122 162 164 204 206 252 254
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: 254
Found by: MarkRBright
db: batch=81, k=14, 52 16 46 40 40 46

SPT(16)	2326003436849454449	0 2 8 24 54 98 104 150 152 198 204 248 278 294 300 302	-1679694414648
SPT(16)	2326004351129230727	0 2 26 62 96 104 114 170 186 242 252 260 294 330 354 356	-765414638370
STPT(10)	2326004607284225981	0 2 36 38 78 80 120 122 156 158	-509259643116
STPT(10)	2326004607675643637	0 2 12 14 42 44 72 74 84 86	-508868225460
STPT(10)	2326004782418623037	0 2 30 32 42 44 54 56 84 86	-334125246060
SPT(16)	2326004809739266567	0 4 16 60 72 120 130 132 184 186 196 244 256 300 312 316	-306804602530
STPT(10)	2326005116543869169	0 2 48 50 90 92 132 134 180 182	72
SPT(16)	2326005540670363907	0 32 42 60 132 150 176 216 260 300 326 344 416 434 444 476	424126494810
SPT(16)	2326005712886060567	0 24 42 84 92 96 102 110 216 224 230 234 242 284 302 326	596342191470
SPT(16)	2326005774182033039	0 18 32 38 42 48 162 180 440 458 572 578 582 588 602 620	657638163942
TPT(14)	2326006044302766521	0 2 36 38 48 50 126 128 150 152 168 170 300 302	927758897424