Prime p₀= 1681067828749048847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 34 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 120 122 162 164 204 206
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: 206
Found by: amazing
db: batch=79, k=12, 2 40 2 40 2 34

STPT(10)	1681066437822198179	0 2 18 20 30 32 42 44 60 62	-1390926850668
TPT(14)	1681066592448559427	0 2 12 14 42 44 102 104 114 116 192 194 222 224	-1236300489420
STPT(10)	1681066713485173097	0 2 30 32 72 74 114 116 144 146	-1115263875750
SPT(16)	1681066794004092821	0 32 50 56 60 162 176 198 200 222 236 338 342 348 366 398	-1034744956026
SPT(16)	1681066853031967589	0 102 104 144 170 174 180 210 242 272 278 282 308 348 350 452	-975717081258
SPT(16)	1681067655816651913	0 4 24 48 144 160 186 196 318 328 354 370 466 490 510 514	-172932396934
STPT(10)	1681067850487941197	0 2 60 62 72 74 84 86 144 146	21738892350
SPT(16)	1681067903933256793	0 6 30 34 58 70 136 166 168 198 264 276 300 304 328 334	75184207946
STPT(10)	1681068009353315411	0 2 6 8 48 50 90 92 96 98	180604266564
STPT(10)	1681068515159109017	0 2 30 32 42 44 54 56 84 86	686410060170
SPT(16)	1681068896362234651	0 10 42 52 90 112 142 160 210 228 258 280 318 328 360 370	1067613185804