Prime p₀= 1594400327053382741 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 136 2 40 2 46 2 40 2 136 2 (?)
a_n: 0 2 138 140 180 182 228 230 270 272 408 410
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: 410
Found by: [SG-2W]Kurzer
db: batch=78, k=12, 2 136 2 40 2 46

TPT(14)	1594398922568581817	0 2 30 32 84 86 162 164 204 206 270 272 330 332	-1404484800924
SPT(16)	1594398997581834751	0 10 16 66 88 90 112 216 262 366 388 390 412 462 468 478	-1329471547990
STPT(10)	1594399186594460261	0 2 36 38 78 80 120 122 156 158	-1140458922480
STPT(10)	1594399486156288247	0 2 60 62 102 104 144 146 204 206	-840897094494
SPT(16)	1594400098498105729	0 132 154 172 190 204 220 232 360 372 388 402 420 438 460 592	-228555277012
SPT(16)	1594400099248267301	0 26 48 72 78 156 182 198 200 216 242 320 326 350 372 398	-227805115440
SPT(16)	1594400655629155109	0 32 38 42 68 92 110 120 140 150 168 192 218 222 228 260	328575772368
TPT(14)	1594400724110307497	0 2 72 74 150 152 294 296 312 314 360 362 390 392	397056924756
SPT(16)	1594401010472409019	0 40 84 102 112 124 144 168 214 238 258 270 280 298 342 382	683419026278
SPT(16)	1594401346642651271	0 126 152 162 168 170 182 186 212 216 228 230 236 246 272 398	1019589268530
SPT(16)	1594401794009590903	0 36 46 120 148 150 156 166 210 220 226 228 256 330 340 376	1466956208162