Prime p₀= 2813112556699986389 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 70 2 64 2 70 2 58 2 (?)
a_n: 0 2 60 62 132 134 198 200 270 272 330 332
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: JayPi
db: batch=82, k=12, 2 58 2 70 2 64

STPT(10)	2813109683713716857	0 2 30 32 42 44 54 56 84 86	-2872986269532
SPT(16)	2813109973655681939	0 12 24 134 144 158 182 254 318 390 414 428 438 548 560 572	-2583044304450
SPT(16)	2813110313500194413	0 6 56 90 96 104 150 194 336 380 426 434 440 474 524 530	-2243199791976
STPT(10)	2813111023410220859	0 2 18 20 30 32 42 44 60 62	-1533289765530
SPT(16)	2813111509204348939	0 28 42 88 138 160 202 208 264 270 312 334 384 430 444 472	-1047495637450
STPT(10)	2813112333052321997	0 2 30 32 72 74 114 116 144 146	-223647664392
SPT(16)	2813113227707548669	0 18 22 72 78 102 144 148 204 208 250 274 280 330 334 352	671007562280
SPT(16)	2813113231195617533	0 56 110 144 150 164 186 210 260 284 306 320 326 360 414 470	674495631144
STPT(10)	2813113521772161659	0 2 42 44 60 62 78 80 120 122	965072175270
SPT(16)	2813113944838858439	0 18 44 78 98 132 168 204 308 344 380 414 434 468 494 512	1388138872050
STPT(10)	2813114009553113471	0 2 6 8 18 20 30 32 36 38	1452853127082