Prime p₀= 2258829024629181209 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: JayPi
db: batch=81, k=12, 2 28 2 28 2 10

STPT(10)	2258828127479009687	0 2 30 32 42 44 54 56 84 86	-897150171522
STPT(10)	2258828384731688387	0 2 90 92 102 104 114 116 204 206	-639897492822
SPT(16)	2258828412873395411	0 6 32 60 66 90 132 138 200 206 248 272 278 306 332 338	-611755785798
SPT(16)	2258828852193986437	0 10 36 46 60 96 102 210 232 340 346 382 396 406 432 442	-172435194772
SPT(16)	2258828884427345603	0 6 86 116 146 174 176 230 270 324 326 354 384 414 494 500	-140201835606
SPT(16)	2258829012339560431	0 36 42 66 82 108 150 162 226 238 280 306 322 346 352 388	-12289620778
STPT(10)	2258829275723271071	0 2 6 8 18 20 30 32 36 38	251094089862
SPT(16)	2258829913719213151	0 16 28 76 126 168 238 258 280 300 370 412 462 510 522 538	889090031942
SPT(16)	2258830104382783637	0 30 32 60 62 80 104 146 150 192 216 234 236 264 266 296	1079753602428
STPT(10)	2258830243922472131	0 2 6 8 18 20 30 32 36 38	1219293290922
SPT(16)	2258830380794732567	0 6 36 56 102 132 144 186 260 302 314 344 390 410 440 446	1356165551358