Prime p₀= 423668046677298011 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 130 2 64 2 40 2 16 2 (?)
a_n: 0 2 78 80 210 212 276 278 318 320 336 338
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: 338
Found by: Sir Stooper
db: batch=70, k=12, 76 130 64 40 16

SPT(14)	423667968375578453	0 20 24 74 98 120 216 218 314 336 360 410 414 434	-78301719558
SPT(14)	423667982376629119	0 34 82 112 114 132 142 150 160 178 180 210 258 292	-64300668892
TPT(12)	423667984095288467	0 2 12 14 54 56 120 122 132 134 210 212	-62582009544
SPT(14)	423667993418338631	0 18 78 92 98 132 138 140 146 180 186 200 260 278	-53258959380
SPT(14)	423668015703475063	0 10 16 30 34 54 94 96 136 156 160 174 180 190	-30973822948
SPT(14)	423668019984611459	0 14 44 72 84 122 180 194 252 290 302 330 360 374	-26692686552
SPT(14)	423668057185861643	0 8 78 114 200 218 224 264 270 288 374 410 480 488	10508563632
SPT(14)	423668057566519951	0 6 12 78 142 150 160 198 208 216 280 346 352 358	10889221940
SPT(14)	423668105168818529	0 8 38 42 48 60 90 110 140 152 158 162 192 200	58491520518
SPT(14)	423668108387243879	0 20 38 42 48 78 90 110 122 152 158 162 180 200	61709945868
TPT(12)	423668122387072679	0 2 30 32 42 44 198 200 228 230 270 272	75709774668