Prime p₀= 167266505119031 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 16 2 40 2 16 2 (?)
a_n: 0 2 36 38 48 50 66 68 108 110 126 128
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: 128
Found by: stoneageman
db: batch=60, k=12, 34 10 16 40 16

SPT(14)	167257566502027	0 22 30 46 66 84 112 144 172 190 210 226 234 256	-8938617004
SPT(14)	167258328040499	0 54 72 80 90 132 134 168 170 212 222 230 248 302	-8177078532
SPT(14)	167262890049131	0 42 56 66 108 116 120 128 132 140 182 192 206 248	-3615069900
TPT(12)	167264760248849	0 2 30 32 42 44 48 50 72 74 90 92	-1744870182
SPT(14)	167265069601241	0 8 20 62 78 108 122 138 152 182 198 240 252 260	-1435517790
TPT(12)	167265507340739	0 2 42 44 78 80 162 164 168 170 222 224	-997778292
SPT(14)	167271882871657	0 12 42 72 90 100 114 130 144 154 172 202 232 244	5377752626
TPT(12)	167274727982027	0 2 30 32 42 44 72 74 84 86 120 122	8222862996
SPT(14)	167275043593279	0 24 34 40 42 52 70 72 90 100 102 108 118 142	8538474248
TPT(12)	167275490758349	0 2 72 74 78 80 138 140 150 152 180 182	8985639318
SPT(14)	167279108975701	0 6 30 76 90 118 126 142 150 178 192 238 262 268	12603856670