Prime p₀= 1664240403086342747 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 178 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 222 224 240 242 264 266
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: 266
Found by: arkiss
db: batch=79, k=12, 2 22 2 16 2 178

SPT(16)	1664239269455828431	0 6 58 60 66 150 156 168 178 190 196 280 286 288 340 346	-1133630514316
STPT(10)	1664239452308147357	0 2 30 32 42 44 54 56 84 86	-950778195390
SPT(16)	1664240088715357789	0 10 18 42 52 70 82 138 142 198 210 228 238 262 270 280	-314370984958
STPT(10)	1664240109137309519	0 2 12 14 30 32 48 50 60 62	-293949033228
STPT(10)	1664240125012110011	0 2 36 38 78 80 120 122 156 158	-278074232736
SPT(16)	1664240343390607627	0 22 36 46 52 60 64 106 150 192 196 204 210 220 234 256	-59695735120
TPT(14)	1664240500045206737	0 2 132 134 162 164 174 176 210 212 294 296 300 302	96958863990
SPT(16)	1664240560577476549	0 12 52 72 90 114 120 132 142 154 160 184 202 222 262 274	157491133802
SPT(16)	1664240604780022961	0 6 48 90 116 126 128 150 356 378 380 390 416 458 500 506	201693680214
TPT(14)	1664241171803741987	0 2 24 26 120 122 150 152 210 212 222 224 234 236	768717399240
SPT(16)	1664241803856463499	0 38 42 48 50 128 132 140 162 170 174 252 254 260 264 302	1400770120752