Prime p₀= 920591329516675499 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: Theadalus
db: batch=76, k=12, 2 10 2 4 2 22

STPT(10)	920589799468370357	0 2 42 44 72 74 102 104 144 146	-1530048305142
SPT(16)	920590032918974549	0 32 54 98 138 158 162 180 182 200 204 224 264 308 330 362	-1296597700950
SPT(16)	920590064121345487	0 6 34 70 150 160 202 226 270 294 336 346 426 462 490 496	-1265395330012
SPT(16)	920590065763618379	0 2 12 20 38 54 132 174 188 230 308 324 342 350 360 362	-1263753057120
TPT(14)	920590107292898969	0 2 42 44 132 134 168 170 180 182 210 212 300 302	-1222223776530
SPT(16)	920590848624204809	0 18 20 50 72 102 128 134 168 174 200 230 252 282 284 302	-480892470690
TPT(14)	920591382235322891	0 2 78 80 120 122 156 158 186 188 216 218 300 302	52718647392
STPT(10)	920591890812114881	0 2 6 8 48 50 90 92 96 98	561295439382
SPT(16)	920591913737837881	0 16 22 28 30 52 66 102 196 232 246 268 270 276 282 298	584221162382
STPT(10)	920591946056033099	0 2 30 32 60 62 90 92 120 122	616539357600
SPT(16)	920592011257910261	0 2 12 30 32 56 72 86 102 116 132 156 158 176 186 188	681741234762