Prime p₀= 2978807463119044859 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: Orange Kid
db: batch=82, k=12, 2 10 2 28 2 76

STPT(12)	2978805340538614589	0 2 30 32 72 74 90 92 132 134 162 164	-2122580430270
STPT(10)	2978805530589750611	0 2 36 38 78 80 120 122 156 158	-1932529294248
SPT(16)	2978805640074366371	0 12 62 98 230 236 252 288 320 356 372 378 510 546 596 608	-1823044678488
STPT(10)	2978805905234555321	0 2 30 32 78 80 126 128 156 158	-1557884489538
SPT(16)	2978806244578049287	0 12 42 70 162 210 216 294 322 400 406 454 546 574 604 616	-1218540995572
STPT(10)	2978806342284163379	0 2 18 20 30 32 42 44 60 62	-1120834881480
SPT(16)	2978807726309566873	0 24 54 94 96 100 120 124 126 130 150 154 156 196 226 250	263190522014
SPT(16)	2978807879903854373	0 18 36 116 144 180 194 240 284 330 344 380 408 488 506 524	416784809514
STPT(10)	2978808165480182039	0 2 12 14 90 92 168 170 180 182	702361137180
STPT(10)	2978808222028413779	0 2 42 44 90 92 138 140 180 182	758909368920
SPT(16)	2978808478477125793	0 6 48 58 66 168 196 214 240 258 286 388 396 406 448 454	1015358080934