Prime p₀= 147458992054489847 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 82 2 28 2 34 2 (?)
a_n: 0 2 12 14 30 32 114 116 144 146 180 182
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: 182
Found by: emoga
db: batch=67, k=12, 10 16 82 28 34

TPT(12)	147458833394033111	0 2 18 20 30 32 108 110 156 158 186 188	-158660456736
SPT(14)	147458833883499557	0 26 42 44 56 72 84 182 194 210 222 224 240 266	-158170990290
SPT(14)	147458847637854169	0 4 42 60 72 82 120 124 162 172 184 202 240 244	-144416635678
SPT(14)	147458869815673391	0 26 30 56 68 92 120 128 156 180 192 218 222 248	-122238816456
STPT(10)	147458873023537841	0 2 78 80 108 110 138 140 216 218	-119030952006
TPT(12)	147458882604515177	0 2 12 14 54 56 120 122 150 152 234 236	-109449974670
SPT(14)	147458992473568813	0 58 66 76 90 100 114 130 144 154 168 178 186 244	419078966
SPT(14)	147459013955373641	0 20 30 48 72 108 132 206 230 266 290 308 318 338	21900883794
SPT(14)	147459018084464377	0 90 102 114 124 126 166 300 340 342 352 364 376 466	26029974530
SPT(14)	147459022029501601	0 28 40 48 52 58 70 198 210 216 220 228 240 268	29975011754
SPT(14)	147459025164576233	0 8 14 54 56 78 110 114 146 168 170 210 216 224	33110086386