Prime p₀= 1688436396618823259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 166 2 22 2 46 2 208 2 (?)
a_n: 0 2 18 20 90 92 258 260 282 284 330 332 540 542
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: 542
Found by: CoolAtchOk
db: batch=79, k=14, 16 70 166 22 46 208

STPT(10)	1688435424513201209	0 2 18 20 30 32 42 44 60 62	-972105622050
STPT(10)	1688435606644052039	0 2 48 50 90 92 132 134 180 182	-789974771220
SPT(16)	1688435896479088789	0 4 40 82 88 130 168 172 180 184 222 264 270 312 348 352	-500139734470
SPT(16)	1688435987342828593	0 18 28 46 58 100 130 150 154 174 204 246 258 276 286 304	-409275994666
SPT(16)	1688436147062910499	0 4 52 60 64 112 114 130 132 148 150 198 202 210 258 262	-249555912760
STPT(12)	1688436286818032441	0 2 18 20 60 62 96 98 138 140 156 158	-109800790818
STPT(12)	1688436608129063201	0 2 6 8 36 38 90 92 120 122 126 128	211510239942
SPT(16)	1688436656927653957	0 4 24 46 60 64 106 130 150 174 216 220 234 256 276 280	260308830698
SPT(16)	1688436806934348923	0 20 84 86 140 168 180 194 240 254 266 294 348 350 414 434	410315525664
SPT(18)	1688437998136102571	0 56 78 116 186 218 228 260 270 278 288 320 330 362 432 470 492 548	1601517279312
SPT(16)	1688438443643281871	0 72 78 92 116 158 198 212 246 260 300 342 366 380 386 458	2047024458612