Prime p₀= 170947427808441671 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 94 2 28 2 10 2 (?)
a_n: 0 2 6 8 30 32 126 128 156 158 168 170
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: 170
Found by: emoga
db: batch=67, k=12, 4 22 94 28 10

SPT(14)	170947312084977019	0 28 40 70 120 142 144 208 210 232 282 312 324 352	-115723464652
SPT(14)	170947318238011867	0 12 52 70 90 154 160 186 192 256 276 294 334 346	-109570429804
SPT(14)	170947334303517151	0 6 28 30 70 130 160 198 228 288 328 330 352 358	-93504924520
TPT(12)	170947339915196099	0 2 132 134 138 140 192 194 258 260 300 302	-87893245572
TPT(12)	170947404695964137	0 2 90 92 132 134 192 194 204 206 294 296	-23112477534
SPT(16)	170947427543565791	0 26 32 198 206 210 222 228 290 296 308 312 320 486 492 518	-264875880
TPT(12)	170947445455407371	0 2 48 50 60 62 90 92 210 212 240 242	17646965700
SPT(16)	170947451143218007	0 60 66 90 112 126 180 196 240 256 310 324 346 370 376 436	23334776336
STPT(10)	170947481885810867	0 2 12 14 42 44 72 74 84 86	54077369196
SPT(16)	170947482977086681	0 10 12 60 76 82 118 138 160 180 216 222 238 286 288 298	55168645010
SPT(16)	170947487045635427	0 32 54 80 84 152 162 206 240 284 294 362 366 392 414 446	59237193756