Prime p₀= 166511044010084957 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 166 2 22 2 16 2 10 2 (?)
a_n: 0 2 42 44 210 212 234 236 252 254 264 266
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: 266
Found by: Paul
db: batch=67, k=12, 40 166 22 16 10

TPT(14)	166510971260283941	0 2 126 128 156 158 168 170 228 230 300 302 408 410	-72749801016
TPT(12)	166510985403907757	0 2 54 56 60 62 174 176 252 254 312 314	-58606177200
TPT(12)	166510987608873329	0 2 78 80 90 92 120 122 198 200 312 314	-56401211628
SPT(14)	166510995150540913	0 6 34 60 66 96 166 174 244 274 280 306 334 340	-48859544044
SPT(14)	166510999336824661	0 10 16 46 52 60 88 120 148 156 162 192 198 208	-44673260296
SPT(16)	166511028986897467	0 22 42 60 66 82 124 126 130 132 174 190 196 214 234 256	-15023187490
SPT(14)	166511088918092213	0 18 54 74 78 80 96 98 114 116 120 140 176 194	44908007256
TPT(12)	166511089721744837	0 2 12 14 24 26 42 44 84 86 240 242	45711659880
STPT(10)	166511132372337629	0 2 30 32 60 62 90 92 120 122	88362252672
SPT(14)	166511145658029589	0 28 30 40 72 82 88 114 120 130 162 172 174 202	101647944632
TPT(12)	166511151314219609	0 2 30 32 60 62 72 74 78 80 132 134	107304134652