Prime p₀= 451802497581077057 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 154 2 28 2 58 2 22 2 (?)
a_n: 0 2 84 86 240 242 270 272 330 332 354 356
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: 356
Found by: desktop64
db: batch=70, k=12, 82 154 28 58 22

SPT(14)	451802440229338087	0 16 30 36 84 102 114 142 154 172 220 226 240 256	-57351738970
SPT(16)	451802442840382363	0 58 64 66 70 126 184 204 220 240 298 354 358 360 366 424	-54740694694
SPT(14)	451802443363178393	0 14 26 48 54 84 90 134 140 170 176 198 210 224	-54217898664
TPT(12)	451802446864204061	0 2 36 38 66 68 96 98 108 110 138 140	-50716872996
TPT(12)	451802472075241589	0 2 12 14 30 32 150 152 162 164 240 242	-25505835468
TPT(12)	451802485282150019	0 2 42 44 90 92 120 122 138 140 162 164	-12298927038
SPT(14)	451802498462450453	0 14 26 30 48 68 90 104 126 146 164 168 180 194	881373396
TPT(12)	451802499152094059	0 2 30 32 48 50 72 74 90 92 168 170	1571017002
SPT(14)	451802499328494541	0 22 40 42 76 90 100 132 142 156 190 192 210 232	1747417484
TPT(12)	451802503422078551	0 2 78 80 96 98 150 152 240 242 288 290	5841001494
TPT(12)	451802511577682387	0 2 42 44 90 92 132 134 150 152 174 176	13996605330