Prime p₀= 1292451910602257147 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: =Lupus=
db: batch=77, k=12, 2 10 2 16 2 22

TPT(14)	1292451206078938679	0 2 48 50 72 74 90 92 132 134 168 170 210 212	-704523318468
STPT(10)	1292451385085927699	0 2 42 44 90 92 138 140 180 182	-525516329448
SPT(16)	1292451521672211707	0 56 66 92 102 132 146 162 170 186 200 230 240 266 276 332	-388930045440
TPT(14)	1292451560063927267	0 2 12 14 54 56 114 116 132 134 144 146 174 176	-350538329880
TPT(14)	1292451843932424431	0 2 126 128 168 170 198 200 216 218 300 302 348 350	-66669832716
STPT(10)	1292451876392509697	0 2 42 44 72 74 102 104 144 146	-34209747450
SPT(16)	1292451934364799017	0 12 20 104 110 132 182 194 210 222 272 294 300 384 392 404	23762541870
SPT(16)	1292452247295616987	0 6 72 90 100 126 130 132 154 156 160 186 196 214 280 286	336693359840
SPT(16)	1292452377612640571	0 26 66 92 96 108 138 158 210 230 260 272 276 302 342 368	467010383424
STPT(10)	1292452737550056581	0 2 48 50 168 170 288 290 336 338	826947799434
SPT(16)	1292453160850885981	0 6 28 48 96 150 198 208 210 220 268 322 370 390 412 418	1250248628834