Prime p₀= 2126308812819572597 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: CoolAtchOk
db: batch=80, k=12, 2 10 2 16 2 22

SPT(16)	2126306285138365129	0 22 28 60 120 132 178 262 270 354 400 412 472 504 510 532	-2527681207468
SPT(16)	2126306687133886099	0 12 22 30 42 90 100 124 198 222 232 280 292 300 310 322	-2125685686498
STPT(10)	2126306934657950711	0 2 6 8 18 20 30 32 36 38	-1878161621886
SPT(16)	2126307277979140523	0 24 56 170 180 246 254 264 446 456 464 530 540 654 686 710	-1534840432074
STPT(10)	2126308470505880369	0 2 18 20 60 62 102 104 120 122	-342313692228
SPT(16)	2126308758068037913	0 6 30 54 94 118 174 186 208 220 276 300 340 364 388 394	-54751534684
SPT(16)	2126309307521931527	0 32 50 56 66 74 146 182 234 270 342 350 360 366 384 416	494702358930
SPT(16)	2126309412717948979	0 24 30 52 70 72 100 108 124 132 160 162 180 202 208 232	599898376382
STPT(10)	2126309412863734037	0 2 30 32 60 62 90 92 120 122	600044161440
STPT(10)	2126309533882419209	0 2 18 20 30 32 42 44 60 62	721062846612
STPT(10)	2126309561837589761	0 2 6 8 48 50 90 92 96 98	749018017164