Prime p₀= 170251641333483107 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 10 2 28 2 (?)
a_n: 0 2 12 14 54 56 60 62 72 74 102 104
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: 104
Found by: emoga
db: batch=67, k=12, 10 40 4 10 28

SPT(14)	170251602753431909	0 20 48 54 62 68 90 92 114 120 128 134 162 182	-38580051198
TPT(12)	170251610654415209	0 2 12 14 108 110 138 140 150 152 162 164	-30679067898
SPT(14)	170251611444137191	0 42 48 78 82 90 100 138 148 156 160 190 196 238	-29889345916
SPT(14)	170251628024443363	0 34 54 60 114 138 144 154 160 184 238 244 264 298	-13309039744
TPT(12)	170251632611457671	0 2 30 32 66 68 96 98 108 110 138 140	-8722025436
SPT(14)	170251634016917779	0 22 30 54 58 118 172 240 294 354 358 382 390 412	-7316565328
SPT(14)	170251643781399371	0 36 38 80 98 132 162 176 206 240 258 300 302 338	2447916264
SPT(14)	170251655482331359	0 10 18 28 52 88 118 192 222 258 282 292 300 310	14148848252
SPT(14)	170251670351048959	0 18 72 112 124 142 144 148 150 168 180 220 274 292	29017565852
TPT(12)	170251675260036239	0 2 42 44 102 104 270 272 288 290 312 314	33926553132
SPT(16)	170251680421685743	0 18 28 30 34 48 58 88 96 126 136 150 154 156 166 184	39088202636