Prime p₀= 859577599135509167 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 28 2 22 2 4 2 28 2 22 2 (?)
a_n: 0 2 210 212 240 242 264 266 270 272 300 302 324 326
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: 326
Found by: Frank [NT]
db: batch=73, k=14, 208 28 22 4 28 22

SPT(16)	859576595264901097	0 22 36 42 52 70 72 94 132 154 156 174 184 190 204 226	-1003870608070
SPT(16)	859576629953567189	0 42 48 54 60 98 102 104 108 110 114 152 158 164 170 212	-969181941978
SPT(16)	859576975795804909	0 42 58 70 84 132 168 172 210 214 250 298 312 324 340 382	-623339704258
SPT(16)	859577239407304021	0 6 70 76 126 132 142 160 312 330 340 346 396 402 466 472	-359728205146
STPT(10)	859577331710055059	0 2 12 14 90 92 168 170 180 182	-267425454108
SPT(16)	859577508996417691	0 12 42 58 72 82 126 138 160 172 216 226 240 256 286 298	-90139091476
STPT(10)	859577677687234967	0 2 24 26 42 44 60 62 84 86	78551725800
STPT(10)	859578078438002681	0 2 6 8 18 20 30 32 36 38	479302493514
SPT(16)	859578197979242267	0 30 50 54 66 92 110 116 120 126 144 170 182 186 206 236	598843733100
SPT(16)	859578327863366971	0 40 82 118 126 156 208 252 256 300 352 382 390 426 468 508	728727857804
SPT(16)	859578480367346599	0 12 18 28 34 58 82 144 208 270 294 318 324 334 340 352	881231837432