Prime p₀= 2709112777802237489 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: JayPi
db: batch=82, k=12, 2 16 2 22 2 4

TPT(14)	2709111514198525547	0 2 12 14 24 26 42 44 150 152 180 182 222 224	-1263603711942
SPT(16)	2709111711106227223	0 18 108 150 154 156 210 216 238 244 298 300 304 346 436 454	-1066696010266
SPT(16)	2709112097671251347	0 12 50 110 122 164 182 194 300 312 330 372 384 444 482 494	-680130986142
SPT(16)	2709112474790707549	0 70 82 84 90 208 222 282 340 400 414 532 538 540 552 622	-303011529940
STPT(10)	2709112658314245107	0 2 12 14 42 44 72 74 84 86	-119487992382
SPT(16)	2709112768525759303	0 16 36 66 108 126 130 178 198 246 250 268 310 340 360 376	-9276478186
STPT(10)	2709112888453752749	0 2 132 134 150 152 168 170 300 302	110651515260
STPT(10)	2709113026531502819	0 2 42 44 90 92 138 140 180 182	248729265330
TPT(14)	2709113292173044019	0 2 42 44 48 50 90 92 132 134 180 182 282 284	514370806530
SPT(16)	2709113773596793439	0 2 30 44 92 114 134 140 282 288 308 330 378 392 420 422	995794555950
SPT(16)	2709113885239231919	0 60 72 120 144 150 164 180 182 198 212 218 242 290 302 362	1107436994430