Prime p₀= 2579785664282492177 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: JayPi
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2579784835326042049	0 34 72 94 114 144 150 154 198 202 208 238 258 280 318 352	-828956450128
SPT(16)	2579785238850050381	0 2 42 66 78 122 140 212 216 288 306 350 362 386 426 428	-425432441796
STPT(10)	2579785429111323569	0 2 48 50 90 92 132 134 180 182	-235171168608
SPT(16)	2579785462773125179	0 4 24 52 70 72 84 100 102 118 130 132 150 178 198 202	-201509366998
TPT(14)	2579785500564213209	0 2 30 32 48 50 90 92 132 134 162 164 168 170	-163718278968
STPT(10)	2579785648219836149	0 2 18 20 30 32 42 44 60 62	-16062656028
SPT(16)	2579786814116931959	0 8 12 38 92 122 140 152 168 180 198 228 282 308 312 320	1149834439782
STPT(10)	2579786852629242161	0 2 6 8 48 50 90 92 96 98	1188346749984
SPT(16)	2579787489532648739	0 12 18 68 92 110 134 138 164 168 192 210 234 284 290 302	1825250156562
SPT(16)	2579787707514590179	0 22 34 48 54 60 70 78 94 102 112 118 124 138 150 172	2043232098002
SPT(16)	2579787891840195059	0 48 80 132 192 212 234 272 360 398 420 440 500 552 584 632	2227557702882