Prime p₀= 816428937976914917 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 16 2 160 2 16 2 70 2 (?)
a_n: 0 2 72 74 90 92 252 254 270 272 342 344
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: 344
Found by: [SG]FX
db: batch=73, k=12, 2 70 2 16 2 160

SPT(18)	816427953701520929	0 38 42 74 108 140 150 182 194 228 240 272 282 314 348 380 384 422	-984275393988
STPT(10)	816427995082507859	0 2 18 20 60 62 102 104 120 122	-942894407058
SPT(16)	816428272258956509	0 38 48 62 92 98 120 132 140 152 174 180 210 224 234 272	-665717958408
STPT(10)	816428367388766651	0 2 30 32 78 80 126 128 156 158	-570588148266
SPT(16)	816428662555294301	0 2 6 108 122 132 156 210 248 302 326 336 350 452 456 458	-275421620616
SPT(16)	816428784392302909	0 10 22 24 90 112 120 150 172 202 210 232 298 300 312 322	-153584612008
STPT(10)	816428996456380091	0 2 36 38 78 80 120 122 156 158	58479465174
TPT(14)	816429296644333751	0 2 30 32 36 38 66 68 108 110 156 158 168 170	358667418834
SPT(16)	816429443446517209	0 4 24 58 72 78 130 144 148 162 214 220 234 268 288 292	505469602292
SPT(16)	816429475678840841	0 2 6 30 42 68 72 86 252 266 270 296 308 332 336 338	537701925924
STPT(10)	816429890460101507	0 2 42 44 72 74 102 104 144 146	952483186590