Prime p₀= 321164104552254179 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 76 2 82 2 16 2 16 2 (?)
a_n: 0 2 30 32 108 110 192 194 210 212 228 230
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: 230
Found by: amazing
db: batch=70, k=12, 28 76 82 16 16

TPT(12)	321164003277679631	0 2 18 20 66 68 156 158 198 200 276 278	-101274574548
SPT(14)	321164037506309639	0 68 80 102 122 140 144 158 162 180 200 222 234 302	-67045944540
SPT(14)	321164039590541831	0 8 26 32 56 60 78 80 98 102 126 132 150 158	-64961712348
SPT(14)	321164040103659853	0 16 18 88 90 100 156 190 246 256 258 328 330 346	-64448594326
TPT(12)	321164052264186797	0 2 54 56 84 86 162 164 222 224 240 242	-52288067382
SPT(14)	321164056819372279	0 22 28 42 64 94 184 198 288 318 340 354 360 382	-47732881900
SPT(14)	321164123682724321	0 6 18 42 46 48 52 126 130 132 136 160 172 178	19130470142
TPT(12)	321164141556230891	0 2 6 8 48 50 78 80 90 92 120 122	37003976712
SPT(14)	321164151206343619	0 10 30 40 42 52 82 102 132 142 144 154 174 184	46654089440
SPT(14)	321164161933156033	0 4 18 24 64 78 88 90 100 114 154 160 174 178	57380901854
TPT(12)	321164164492339739	0 2 48 50 60 62 102 104 132 134 138 140	59940085560