Prime p₀= 281254857499455209 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 88 2 34 2 178 2 28 2 (?)
a_n: 0 2 12 14 102 104 138 140 318 320 348 350
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: 350
Found by: desktop64
db: batch=69, k=12, 10 88 34 178 28

SPT(14)	281254785587626007	0 20 62 66 86 122 146 150 174 210 230 234 276 296	-71911829202
SPT(14)	281254789725861499	0 28 34 64 78 88 118 144 174 184 198 228 234 262	-67773593710
TPT(12)	281254804231646351	0 2 66 68 108 110 120 122 150 152 198 200	-53267808858
TPT(12)	281254812995615279	0 2 42 44 60 62 72 74 132 134 198 200	-44503839930
SPT(14)	281254840925443769	0 24 42 44 54 102 108 284 290 338 348 350 368 392	-16574011440
TPT(12)	281254846339295747	0 2 84 86 120 122 144 146 174 176 312 314	-11160159462
SPT(14)	281254874250900047	0 2 24 50 92 114 116 120 122 144 186 212 234 236	16751444838
TPT(12)	281254899345400931	0 2 30 32 60 62 156 158 186 188 198 200	41845945722
SPT(14)	281254904410909067	0 56 62 66 104 122 126 140 144 162 200 204 210 266	46911453858
SPT(14)	281254908039692579	0 12 14 18 32 38 90 122 174 180 194 198 200 212	50540237370
SPT(14)	281254908353529167	0 2 14 30 32 36 116 120 200 204 206 222 234 236	50854073958