Prime p₀= 140834246750625557 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 40 2 10 2 (?)
a_n: 0 2 24 26 54 56 120 122 162 164 174 176
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: 176
Found by: cpuid
db: batch=67, k=12, 22 28 64 40 10

SPT(14)	140834197849972477	0 4 70 76 82 112 114 142 144 174 180 186 252 256	-48900653080
SPT(14)	140834199144638641	0 10 12 22 90 120 132 166 178 208 276 286 288 298	-47605986916
SPT(14)	140834212139285689	0 10 24 72 112 114 120 154 160 162 202 250 264 274	-34611339868
SPT(14)	140834218778707807	0 30 106 184 192 196 234 292 330 334 342 420 496 526	-27971917750
SPT(14)	140834227371408229	0 10 28 72 88 130 168 214 252 294 310 354 372 382	-19379217328
SPT(14)	140834243658265541	0 26 60 66 80 116 138 158 180 216 230 236 270 296	-3092360016
TPT(12)	140834251480728887	0 2 30 32 54 56 144 146 264 266 300 302	4730103330
SPT(14)	140834278288912193	0 20 96 98 108 116 150 266 300 308 318 320 396 416	31538286636
SPT(14)	140834285407651523	0 36 78 84 90 116 156 188 228 254 260 266 308 344	38657025966
SPT(14)	140834296183785011	0 98 108 110 150 188 192 236 240 278 318 320 330 428	49433159454
SPT(14)	140834296606171703	0 14 30 90 98 140 164 174 198 240 248 308 324 338	49855546146