Prime p₀= 2083194087000168929 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 70 2 28 2 70 2 76 2 (?)
a_n: 0 2 78 80 150 152 180 182 252 254 330 332
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: 332
Found by: Landjunge
db: batch=80, k=12, 2 76 2 70 2 28

SPT(16)	2083192597671169373	0 8 26 60 68 78 120 138 158 176 218 228 236 270 288 296	-1489328999556
SPT(16)	2083192839734197907	0 14 44 50 132 144 146 174 212 240 242 254 336 342 372 386	-1247265971022
STPT(10)	2083193416970424929	0 2 42 44 60 62 78 80 120 122	-670029744000
SPT(16)	2083193639144395861	0 28 72 90 100 118 130 160 168 198 210 228 238 256 300 328	-447855773068
STPT(10)	2083193822382504149	0 2 42 44 90 92 138 140 180 182	-264617664780
TPT(14)	2083194087000168809	0 2 120 122 198 200 270 272 300 302 372 374 450 452	-120
STPT(10)	2083194249325150007	0 2 54 56 72 74 90 92 144 146	162324981078
SPT(16)	2083194400404568811	0 2 8 12 62 90 150 188 282 320 380 408 458 462 468 470	313404399882
SPT(16)	2083194410972639819	0 2 32 54 78 108 170 180 182 192 254 284 308 330 360 362	323972470890
SPT(16)	2083195133177158241	0 36 66 90 96 170 180 198 230 248 258 332 338 362 392 428	1046176989312
STPT(10)	2083195209498635987	0 2 30 32 42 44 54 56 84 86	1122498467058