Prime p₀= 2712387959668875011 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 108 110 138 140 168 170
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: 170
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 46

SPT(13)	2712386973552285481	0 12 18 138 168 222 240 258 312 342 462 468 480	-986116589530
TPT(14)	2712387346108712579	0 2 72 74 108 110 138 140 222 224 240 242 282 284	-613560162432
SPT(16)	2712387377995479979	0 4 54 64 70 120 172 204 208 240 292 342 348 358 408 412	-581673395032
SPT(16)	2712387422900093761	0 12 102 120 166 168 190 208 210 228 250 252 298 316 406 418	-536768781250
STPT(10)	2712387686872262207	0 2 12 14 72 74 132 134 144 146	-272796612804
STPT(10)	2712387790889313149	0 2 18 20 30 32 42 44 60 62	-168779561862
SPT(16)	2712388210441918273	0 6 18 46 48 108 124 144 160 180 196 256 258 286 298 304	250773043262
SPT(16)	2712388474375414579	0 12 40 78 94 138 184 198 244 258 304 348 364 402 430 442	514706539568
SPT(16)	2712388902908736221	0 32 36 48 92 158 170 200 258 288 300 366 410 422 426 458	943239861210
SPT(16)	2712388963810061243	0 56 96 116 140 186 206 276 284 354 374 420 444 464 504 560	1004141186232
SPT(16)	2712388971115191259	0 22 30 40 48 78 82 108 124 150 154 184 192 202 210 232	1011446316248