Prime p₀= 281254044382791449 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 40 2 10 2 154 2 10 2 (?)
a_n: 0 2 48 50 90 92 102 104 258 260 270 272
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: 272
Found by: desktop64
db: batch=69, k=12, 46 40 10 154 10

TPT(12)	281253974965410527	0 2 12 14 84 86 90 92 132 134 174 176	-69417380922
SPT(14)	281253991373103821	0 18 50 78 86 98 102 116 120 132 140 168 200 218	-53009687628
SPT(14)	281253997527420419	0 14 42 54 62 90 108 164 182 210 218 230 258 272	-46855371030
SPT(14)	281254020609952241	0 8 18 80 92 108 132 176 200 216 228 290 300 308	-23772839208
SPT(14)	281254027359570523	0 10 30 40 84 90 100 108 118 124 168 178 198 208	-17023220926
SPT(14)	281254031228551543	0 10 70 88 94 108 130 144 166 180 186 204 264 274	-13154239906
SPT(14)	281254050137070287	0 12 26 36 44 54 62 84 92 102 110 120 134 146	5754278838
SPT(14)	281254074574265921	0 8 20 30 38 50 56 72 78 90 98 108 120 128	30191474472
TPT(12)	281254078343101217	0 2 12 14 72 74 90 92 180 182 222 224	33960309768
SPT(14)	281254078578155633	0 60 80 90 158 164 200 264 300 306 374 384 404 464	34195364184
TPT(12)	281254118879845589	0 2 78 80 132 134 228 230 258 260 372 374	74497054140