Prime p₀= 1823438401237142069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 160 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 252 254 312 314 342 344
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: amazing
db: batch=79, k=12, 2 28 2 58 2 160

SPT(16)	1823437206346891111	0 36 42 58 78 130 132 160 198 226 228 280 300 316 322 358	-1194890250958
SPT(16)	1823437506607497437	0 12 62 72 116 156 186 200 306 320 350 390 434 444 494 506	-894629644632
SPT(16)	1823437737420565879	0 12 72 100 138 172 174 184 228 238 240 274 312 340 400 412	-663816576190
SPT(16)	1823437752583910159	0 2 8 14 30 60 90 110 162 182 212 242 258 264 270 272	-648653231910
STPT(12)	1823438184757852937	0 2 30 32 72 74 162 164 204 206 234 236	-216479289132
SPT(16)	1823438387192476897	0 6 10 12 16 40 82 90 142 150 192 216 220 222 226 232	-14044665172
SPT(16)	1823438740768105403	0 8 24 60 90 104 134 140 144 150 180 194 224 260 276 284	339530963334
SPT(16)	1823439168174131857	0 12 24 46 150 196 220 306 460 546 570 616 720 742 754 766	766936989788
TPT(14)	1823439468417721169	0 2 30 32 72 74 168 170 210 212 288 290 330 332	1067180579100
SPT(20)	1823439581246685191	0 30 66 72 108 110 168 170 206 240 278 312 348 350 408 410 446 452 488 518	1180009543122
STPT(10)	1823439666296484329	0 2 30 32 60 62 90 92 120 122	1265059342260