Prime p₀= 3489792697491444959 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 34 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 138 140 198 200 240 242
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: 242
Found by: Josemi
db: batch=83, k=12, 2 40 2 58 2 34

SPT(16)	3489791915542410481	0 16 76 90 100 138 148 168 190 210 220 258 268 282 342 358	-781949034478
TPT(14)	3489792118240926521	0 2 6 8 18 20 36 38 126 128 240 242 246 248	-579250518438
SPT(16)	3489792422305303963	0 28 30 46 58 84 88 94 150 156 160 186 198 214 216 244	-275186140996
STPT(10)	3489792464334657359	0 2 48 50 90 92 132 134 180 182	-233156787600
SPT(16)	3489792596751773929	0 78 82 114 154 168 190 220 282 312 334 348 388 420 424 502	-100739671030
STPT(10)	3489792640135158629	0 2 18 20 30 32 42 44 60 62	-57356286330
SPT(16)	3489793067397013283	0 8 54 78 98 168 176 194 210 228 236 306 326 350 396 404	369905568324
SPT(16)	3489793588913949887	0 12 36 86 96 110 150 152 360 362 402 416 426 476 500 512	891422504928
STPT(10)	3489793607526966161	0 2 36 38 78 80 120 122 156 158	910035521202
STPT(10)	3489793896924462227	0 2 42 44 72 74 102 104 144 146	1199433017268
SPT(16)	3489793943772632939	0 50 92 114 122 170 174 204 218 248 252 300 308 330 372 422	1246281187980