Prime p₀= 2564312876236344377 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 132 134 174 176
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: 176
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 28 2 28

STPT(10)	2564310981784893329	0 2 18 20 30 32 42 44 60 62	-1894451451048
SPT(16)	2564310999881460649	0 18 30 52 70 78 108 150 190 232 262 270 288 310 322 340	-1876354883728
STPT(10)	2564311544803278239	0 2 12 14 30 32 48 50 60 62	-1331433066138
TPT(14)	2564311920775158527	0 2 24 26 30 32 54 56 72 74 162 164 180 182	-955461185850
SPT(16)	2564312409770455433	0 8 18 74 78 110 116 138 206 228 234 266 270 326 336 344	-466465888944
SPT(16)	2564312410636046557	0 76 82 90 114 216 252 270 406 424 460 562 586 594 600 676	-465600297820
SPT(16)	2564313262815211199	0 12 14 24 74 80 90 194 300 404 414 420 470 480 482 494	386578866822
SPT(16)	2564313323921791913	0 30 48 98 108 126 158 170 186 198 230 248 258 308 326 356	447685447536
SPT(16)	2564313373841084891	0 2 18 20 32 50 60 90 128 158 168 186 198 200 216 218	497604740514
SPT(16)	2564313556906484413	0 6 16 24 108 118 120 130 174 184 186 196 280 288 298 304	680670140036
STPT(10)	2564313686476381199	0 2 42 44 90 92 138 140 180 182	810240036822