Prime p₀= 2497283192873466167 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2497282338288451009	0 24 70 90 148 160 174 178 270 274 288 300 358 378 424 448	-854585015158
STPT(10)	2497282406865723077	0 2 30 32 42 44 54 56 84 86	-786007743090
STPT(12)	2497282488665410679	0 2 30 32 60 62 72 74 102 104 132 134	-704208055488
SPT(16)	2497282500141920747	0 6 72 110 170 174 200 222 344 366 392 396 456 494 560 566	-692731545420
TPT(14)	2497282716068958227	0 2 12 14 90 92 102 104 144 146 174 176 312 314	-476804507940
SPT(16)	2497282949929413431	0 42 90 128 132 162 168 198 260 290 296 326 330 368 416 458	-242944052736
STPT(10)	2497283248740126347	0 2 54 56 72 74 90 92 144 146	55866660180
STPT(10)	2497283336702686451	0 2 78 80 108 110 138 140 216 218	143829220284
SPT(16)	2497283575691996527	0 24 42 52 66 102 130 142 204 216 244 280 294 304 322 346	382818530360
STPT(10)	2497284133317975929	0 2 48 50 90 92 132 134 180 182	940444509762
STPT(10)	2497284658430441819	0 2 42 44 60 62 78 80 120 122	1465556975652