Prime p₀= 469500416208255251 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 10 2 58 2 10 2 28 2 (?)
a_n: 0 2 66 68 78 80 138 140 150 152 180 182
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: 182
Found by: gemini8
db: batch=70, k=12, 64 10 58 10 28

SPT(14)	469500370331113987	0 6 12 22 46 52 60 112 120 126 150 160 166 172	-45877141264
SPT(14)	469500381130847219	0 20 38 140 158 170 200 222 252 264 282 384 402 422	-35077408032
SPT(14)	469500383333633623	0 10 34 48 58 88 100 144 156 186 196 210 234 244	-32874621628
SPT(16)	469500413586944869	0 22 28 70 72 82 94 112 120 138 150 160 162 204 210 232	-2621310382
SPT(14)	469500414659543521	0 18 28 52 70 102 210 220 328 360 378 402 412 430	-1548711730
SPT(14)	469500416129557949	0 108 114 152 168 188 222 290 324 344 360 398 404 512	-78697302
SPT(14)	469500420079068691	0 10 42 52 66 108 112 126 130 172 186 196 228 238	3870813440
SPT(14)	469500432027876043	0 28 46 48 54 78 88 156 166 190 196 198 216 244	15819620792
TPT(12)	469500458999014697	0 2 60 62 90 92 102 104 114 116 132 134	42790759446
SPT(14)	469500476110863983	0 108 120 158 164 168 200 258 290 294 300 338 350 458	59902608732
SPT(14)	469500487711158571	0 22 40 52 108 160 162 196 198 250 306 318 336 358	71502903320