Prime p₀= 589922695484420531 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 82 2 34 2 28 2 (?)
a_n: 0 2 30 32 36 38 120 122 156 158 186 188
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: 188
Found by: UBT - Timbo
db: batch=71, k=12, 28 4 82 34 28

SPT(14)	589922608302864757	0 4 22 72 82 84 90 154 160 162 172 222 240 244	-87181555774
SPT(14)	589922610137408747	0 6 12 14 50 56 66 80 90 96 132 134 140 146	-85347011784
SPT(14)	589922614102197097	0 12 16 30 72 120 156 196 232 280 322 336 340 352	-81382223434
SPT(14)	589922641803498881	0 56 132 150 182 192 206 306 320 330 362 380 456 512	-53680921650
SPT(14)	589922648197855057	0 16 42 46 52 66 72 100 106 120 126 130 156 172	-47286565474
TPT(12)	589922684685945437	0 2 54 56 162 164 180 182 204 206 294 296	-10798475094
SPT(14)	589922702759298427	0 10 52 96 106 172 184 192 204 270 280 324 366 376	7274877896
TPT(12)	589922702900194997	0 2 54 56 84 86 90 92 114 116 180 182	7415774466
SPT(14)	589922707942580707	0 52 76 90 100 132 154 192 214 246 256 270 294 346	12458160176
SPT(14)	589922720283748601	0 2 12 36 50 68 98 180 210 228 242 266 276 278	24799328070
SPT(14)	589922731195769567	0 14 24 36 50 156 162 164 170 276 290 302 312 326	35711349036