Prime p₀= 2768675161853684099 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
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: 122
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 28 2 10 2 34

STPT(10)	2768673289180161611	0 2 78 80 108 110 138 140 216 218	-1872673522488
SPT(16)	2768673622799823371	0 48 68 78 80 92 162 218 222 278 348 360 362 372 392 440	-1539053860728
STPT(10)	2768673804132293411	0 2 6 8 48 50 90 92 96 98	-1357721390688
SPT(16)	2768673909753850141	0 28 66 82 96 112 168 186 262 280 336 352 366 382 420 448	-1252099833958
SPT(16)	2768673977164559273	0 14 24 68 78 80 116 150 194 228 264 266 276 320 330 344	-1184689124826
TPT(14)	2768675161853684087	0 2 12 14 42 44 54 56 90 92 102 104 132 134	-12
TPT(14)	2768675222902721771	0 2 78 80 156 158 198 200 408 410 420 422 546 548	61049037672
STPT(10)	2768675270195921291	0 2 6 8 18 20 30 32 36 38	108342237192
SPT(16)	2768675350134434269	0 12 22 42 48 90 102 202 210 310 322 364 370 390 400 412	188280750170
SPT(16)	2768675466228993611	0 2 80 92 98 132 146 156 182 192 206 240 246 258 336 338	304375309512
STPT(10)	2768675764691163401	0 2 6 8 48 50 90 92 96 98	602837479302