Prime p₀= 1786825873407204647 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 76 2 10 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 252 254
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: 254
Found by: CoolAtchOk
db: batch=79, k=12, 2 40 2 76 2 10

STPT(10)	1786823417071731677	0 2 60 62 72 74 84 86 144 146	-2456335472970
SPT(16)	1786823867847789347	0 24 44 56 62 84 126 140 156 170 212 234 240 252 272 296	-2005559415300
SPT(16)	1786824324800212547	0 6 14 44 62 72 92 114 152 174 194 204 222 252 260 266	-1548606992100
SPT(16)	1786824543220857391	0 10 28 30 66 70 76 96 172 192 198 202 238 240 258 268	-1330186347256
SPT(13)	1786824754099885243	0 24 60 66 84 126 150 174 216 234 240 276 300	-1119307319404
STPT(10)	1786824950334521297	0 2 54 56 72 74 90 92 144 146	-923072683350
TPT(14)	1786826133570076631	0 2 198 200 240 242 300 302 348 350 366 368 378 380	260162871984
TPT(14)	1786826453257854161	0 2 18 20 30 32 60 62 96 98 108 110 270 272	579850649514
SPT(16)	1786826506411964959	0 30 64 82 102 112 154 162 190 198 240 250 270 288 322 352	633004760312
SPT(16)	1786826960892283637	0 26 32 126 134 140 150 182 204 236 246 252 260 354 360 386	1087485078990
SPT(16)	1786827143385477407	0 30 32 42 60 84 104 146 240 282 302 326 344 354 356 386	1269978272760