Prime p₀= 14010546520423499 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 166 2 58 2 22 2 16 2 106 2 (?)
a_n: 0 2 168 170 228 230 252 254 270 272 378 380
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: 380
Found by: stoneageman
db: batch=62, k=12, 166 58 22 16 106

SPT(16)	14010507689755897	0 34 64 66 84 102 112 124 132 144 154 172 190 192 222 256	-38830667602
SPT(16)	14010514883001937	0 4 10 40 54 60 72 76 150 154 166 172 186 216 222 226	-31637421562
SPT(14)	14010515380009787	0 20 30 74 114 116 140 150 174 176 216 260 270 290	-31140413712
SPT(14)	14010530050479997	0 4 34 40 60 72 90 94 112 124 144 150 180 184	-16469943502
SPT(14)	14010541546307699	0 8 30 44 54 60 68 84 92 98 108 122 144 152	-4974115800
SPT(14)	14010543117401483	0 8 14 50 66 80 98 156 174 188 204 240 246 254	-3403022016
SPT(14)	14010549879964153	0 36 40 70 76 94 106 138 150 168 174 204 208 244	3359540654
SPT(14)	14010552975217639	0 18 22 24 40 42 52 180 190 192 208 210 214 232	6454794140
TPT(14)	14010562047041759	0 2 42 44 108 110 138 140 180 182 192 194 288 290	15526618260
SPT(14)	14010564747046339	0 10 24 54 82 114 120 142 148 180 208 238 252 262	18226622840
SPT(14)	14010578822858669	0 18 24 102 104 128 132 200 204 228 230 308 314 332	32302435170