Prime p₀= 1936884703678520969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 16 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 90 92 102 104 162 164
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: 164
Found by: vaughan
db: batch=80, k=12, 2 58 2 10 2 16

SPT(16)	1936883015188629481	0 30 70 102 108 172 178 198 220 240 246 310 316 348 388 418	-1688489891488
SPT(16)	1936883215148094781	0 18 40 42 58 60 72 102 148 178 190 192 208 210 232 250	-1488530426188
SPT(16)	1936883539160731879	0 4 22 28 42 132 148 190 222 264 280 370 384 390 408 412	-1164517789090
SPT(16)	1936884046913194217	0 60 114 126 170 194 222 230 276 284 312 336 380 392 446 506	-656765326752
SPT(16)	1936884454535559647	0 2 6 104 110 122 126 144 152 170 174 186 192 290 294 296	-249142961322
SPT(16)	1936884567350826641	0 42 78 98 122 158 218 248 252 282 342 378 402 422 458 500	-136327694328
SPT(16)	1936884746969081099	0 14 38 78 84 98 108 110 192 194 204 218 224 264 288 302	43290560130
SPT(16)	1936884941511635821	0 18 28 72 82 90 96 132 166 202 208 216 226 270 280 298	237833114852
STPT(10)	1936885073496677147	0 2 30 32 42 44 54 56 84 86	369818156178
SPT(16)	1936885458066794117	0 24 26 54 72 84 86 102 164 180 182 194 212 240 242 266	754388273148
SPT(16)	1936885863030849551	0 18 30 120 146 168 186 188 228 230 248 270 296 386 398 416	1159352328582