Prime p₀= 26831603942970479 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 46 2 22 2 58 2 4 2 (?)
a_n: 0 2 30 32 78 80 102 104 162 164 168 170
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: DoctorNow
db: batch=65, k=12, 28 46 22 58 4

SPT(14)	26831579453216033	0 14 20 44 86 114 146 168 200 228 270 294 300 314	-24489754446
SPT(14)	26831581872183181	0 58 66 88 100 106 126 130 150 156 168 190 198 256	-22070787298
SPT(14)	26831582313857221	0 42 76 90 106 180 208 300 328 402 418 432 466 508	-21629113258
SPT(14)	26831590481080927	0 24 42 66 70 120 154 192 226 276 280 304 322 346	-13461889552
SPT(14)	26831591395537927	0 12 70 120 202 214 232 234 252 264 346 396 454 466	-12547432552
TPT(12)	26831596751672957	0 2 12 14 102 104 114 116 192 194 252 254	-7191297522
SPT(14)	26831611713204527	0 12 50 56 62 80 102 140 162 180 186 192 230 242	7770234048
SPT(14)	26831625809628421	0 6 18 42 82 130 136 162 168 216 256 280 292 298	21866657942
SPT(14)	26831633704627811	0 20 66 90 126 146 198 248 300 320 356 380 426 446	29761657332
SPT(14)	26831635022293229	0 18 60 62 98 120 134 168 182 204 240 242 284 302	31079322750
STPT(10)	26831637642466799	0 2 18 20 30 32 42 44 60 62	33699496320