Prime p₀= 2768740924330326479 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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 40 2 4 2 22

STPT(10)	2768739515333983949	0 2 18 20 30 32 42 44 60 62	-1408996342530
STPT(10)	2768739630815098649	0 2 18 20 60 62 102 104 120 122	-1293515227830
SPT(16)	2768739709395424757	0 32 44 84 90 144 192 194 312 314 362 416 422 462 474 506	-1214934901722
STPT(10)	2768739831090083909	0 2 42 44 60 62 78 80 120 122	-1093240242570
SPT(16)	2768740400080798349	0 20 104 108 114 120 128 140 162 174 182 188 194 198 282 302	-524249528130
SPT(16)	2768740747866318331	0 12 28 40 42 52 66 96 142 172 186 196 198 210 226 238	-176464008148
SPT(16)	2768741053736554301	0 48 146 192 236 248 252 270 278 296 300 312 356 402 500 548	129406227822
SPT(16)	2768741089508269937	0 14 20 32 62 66 84 122 144 182 200 204 234 246 252 266	165177943458
TPT(14)	2768741117651619029	0 2 12 14 138 140 162 164 168 170 210 212 252 254	193321292550
STPT(10)	2768741141658340487	0 2 60 62 72 74 84 86 144 146	217328014008
SPT(16)	2768741283107714227	0 24 46 60 120 132 150 190 216 256 274 286 346 360 382 406	358777387748