Prime p₀= 11167312200172967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 142 2 4 2 58 2 10 2 10 2 (?)
a_n: 0 2 144 146 150 152 210 212 222 224 234 236
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: 236
Found by: Matt J.
db: batch=62, k=12, 142 4 58 10 10

SPT(14)	11167279057545701	0 18 38 68 96 110 192 266 348 362 390 420 440 458	-33142627266
SPT(14)	11167283494050367	0 52 94 112 144 150 154 162 166 172 204 222 264 316	-28706122600
SPT(14)	11167292004616087	0 4 22 40 60 114 130 156 172 226 246 264 282 286	-20195556880
SPT(14)	11167294752419371	0 30 40 70 82 102 118 180 196 216 228 258 268 298	-17447753596
TPT(12)	11167301932391621	0 2 90 92 120 122 156 158 186 188 258 260	-10267781346
SPT(14)	11167307219413127	0 6 24 30 60 66 74 156 164 170 200 206 224 230	-4980759840
SPT(14)	11167316115019451	0 36 78 80 116 122 126 182 186 192 228 230 272 308	3914846484
SPT(14)	11167329824203639	0 28 48 58 60 88 102 118 132 160 162 172 192 220	17624030672
TPT(12)	11167343223887687	0 2 12 14 42 44 90 92 102 104 132 134	31023714720
SPT(14)	11167351510513813	0 28 30 54 66 88 90 94 96 118 130 154 156 184	39310340846
SPT(14)	11167356011073113	0 8 14 24 26 38 48 56 66 78 80 90 96 104	43810900146