Prime p₀= 172113773496782639 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 166 2 10 2 76 2 130 2 (?)
a_n: 0 2 42 44 210 212 222 224 300 302 432 434
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: 434
Found by: JagDoc
db: batch=67, k=12, 40 166 10 76 130

SPT(14)	172113745386976933	0 78 96 114 124 154 156 178 180 210 220 238 256 334	-28109805706
SPT(16)	172113753998453537	0 26 32 54 72 110 114 140 186 212 216 254 272 294 300 326	-19498329102
SPT(14)	172113754761834751	0 10 60 88 108 126 178 180 232 250 270 298 348 358	-18734947888
SPT(14)	172113755461137967	0 42 52 112 114 130 154 270 294 310 312 372 382 424	-18035644672
SPT(14)	172113766403799301	0 16 22 42 48 58 72 286 300 310 316 336 342 358	-7092983338
SPT(14)	172113772081084609	0 10 18 28 42 48 70 72 94 100 114 124 132 142	-1415698030
SPT(14)	172113818236188193	0 16 18 54 144 150 156 178 184 190 280 316 318 334	44739405554
SPT(14)	172113829979060309	0 2 30 48 68 72 98 132 158 162 182 200 228 230	56482277670
SPT(14)	172113835219311439	0 18 24 54 84 88 142 180 234 238 268 298 304 322	61722528800
TPT(12)	172113843237176231	0 2 66 68 96 98 156 158 180 182 228 230	69740393592
STPT(10)	172113887554205921	0 2 30 32 78 80 126 128 156 158	114057423282