Prime p₀= 166509415754843261 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 10 2 238 2 10 2 58 2 (?)
a_n: 0 2 6 8 18 20 258 260 270 272 330 332
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: 332
Found by: Paul
db: batch=67, k=12, 4 10 238 10 58

SPT(14)	166509368243699651	0 18 36 56 66 80 98 108 126 140 150 170 188 206	-47511143610
SPT(14)	166509379505654849	0 42 44 72 98 132 140 222 230 264 290 318 320 362	-36249188412
SPT(14)	166509384257572997	0 50 56 60 102 132 134 222 224 254 296 300 306 356	-31497270264
SPT(14)	166509395064953371	0 16 30 48 82 90 100 138 148 156 190 208 222 238	-20689889890
SPT(14)	166509410950707029	0 30 38 44 72 98 102 170 174 200 228 234 242 272	-4804136232
TPT(12)	166509413949079559	0 2 12 14 72 74 78 80 150 152 198 200	-1805763702
SPT(14)	166509420956035453	0 6 10 36 48 66 70 156 160 178 190 216 220 226	5201192192
SPT(14)	166509423081565393	0 40 90 118 144 148 166 168 186 190 216 244 294 334	7326722132
SPT(14)	166509426031691081	0 72 78 110 120 128 146 162 180 188 198 230 236 308	10276847820
TPT(12)	166509431069314217	0 2 24 26 120 122 210 212 360 362 384 386	15314470956
SPT(14)	166509470891846557	0 4 40 72 90 96 124 132 160 166 184 216 252 256	55137003296