Prime p₀= 64166246831503679 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 166 2 58 2 22 2 28 2 16 2 (?)
a_n: 0 2 168 170 228 230 252 254 282 284 300 302
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: 302
Found by: emoga
db: batch=67, k=12, 166 58 22 28 16

SPT(14)	64166182654534309	0 24 60 72 94 114 172 180 238 258 280 292 328 352	-64176969370
TPT(12)	64166191654098629	0 2 12 14 30 32 60 62 132 134 138 140	-55177405050
SPT(14)	64166205331715189	0 14 42 84 92 150 170 204 224 282 290 332 360 374	-41499788490
SPT(14)	64166216333654741	0 12 50 56 60 62 78 80 96 98 102 108 146 158	-30497848938
SPT(16)	64166226824623051	0 22 42 88 108 112 148 150 280 282 318 322 342 388 408 430	-20006880628
SPT(14)	64166240314193009	0 20 24 32 38 44 84 128 168 174 180 188 192 212	-6517310670
SPT(14)	64166248867861957	0 34 40 42 82 102 112 144 154 174 214 216 222 256	2036358278
SPT(14)	64166264202775181	0 30 42 56 62 72 102 110 140 150 156 170 182 212	17371271502
SPT(14)	64166268217569797	0 6 26 44 90 116 146 234 264 290 336 354 374 380	21386066118
SPT(14)	64166273927868979	0 10 28 52 60 70 138 142 210 220 228 252 270 280	27096365300
SPT(14)	64166281878109729	0 52 54 58 94 112 132 160 180 198 234 238 240 292	35046606050