Prime p₀= 429561087284717369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 10 2 10 2 64 2 40 2 (?)
a_n: 0 2 78 80 90 92 102 104 168 170 210 212
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: 212
Found by: Cruncher Pete
db: batch=70, k=12, 76 10 10 64 40

TPT(16)	429561029769404009	0 2 12 14 162 164 222 224 360 362 378 380 402 404 408 410	-57515313360
TPT(12)	429561039599584811	0 2 18 20 78 80 156 158 240 242 336 338	-47685132558
SPT(14)	429561062981281921	0 18 30 60 88 100 106 120 126 138 166 196 208 226	-24303435448
SPT(14)	429561064035096641	0 30 42 68 116 146 168 200 222 252 300 326 338 368	-23249620728
SPT(14)	429561067519378541	0 6 38 66 140 222 300 368 446 528 602 630 662 668	-19765338828
TPT(12)	429561078370562249	0 2 72 74 102 104 138 140 150 152 192 194	-8914155120
TPT(12)	429561091284843689	0 2 12 14 90 92 108 110 150 152 318 320	4000126320
SPT(14)	429561095754035159	0 14 48 68 98 144 158 300 314 360 390 410 444 458	8469317790
SPT(14)	429561127841028301	0 6 108 172 180 186 262 336 412 418 426 490 592 598	40556310932
TPT(12)	429561155925033281	0 2 90 92 120 122 156 158 198 200 216 218	68640315912
SPT(14)	429561164292524239	0 10 24 30 40 100 108 154 162 222 232 238 252 262	77007806870