Prime p₀= 2302981771300680521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 160 2 16 2 112 2 64 2 190 2 (?)
a_n: 0 2 36 38 198 200 216 218 330 332 396 398 588 590
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: 590
Found by: Orange Kid
db: batch=81, k=14, 34 160 16 112 64 190

SPT(16)	2302980038145300373	0 10 18 40 54 70 90 144 160 214 234 250 264 286 294 304	-1733155380148
SPT(20)	2302980398905693541	0 30 56 60 102 116 140 152 170 180 272 282 300 312 336 350 392 396 422 452	-1372394986980
SPT(16)	2302980918979706851	0 40 106 120 130 132 138 156 172 190 196 198 208 222 288 328	-852320973670
STPT(10)	2302981175713936187	0 2 30 32 42 44 54 56 84 86	-595586744334
TPT(14)	2302981373453464931	0 2 6 8 66 68 138 140 168 170 210 212 216 218	-397847215590
SPT(16)	2302981476018349999	0 10 12 42 70 78 90 162 178 250 262 270 298 328 330 340	-295282330522
SPT(16)	2302982131738670687	0 2 30 42 50 84 92 96 170 174 182 216 224 236 264 266	360437990166
STPT(10)	2302982629947753461	0 2 78 80 138 140 198 200 276 278	858647072940
STPT(10)	2302982662351234637	0 2 54 56 72 74 90 92 144 146	891050554116
SPT(16)	2302983133960788533	0 38 50 60 78 80 116 140 144 168 204 206 224 234 246 284	1362660108012
STPT(10)	2302983431927009957	0 2 30 32 72 74 114 116 144 146	1660626329436