Prime p₀= 686842399708037861 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 52 2 34 2 10 2 (?)
a_n: 0 2 36 38 66 68 120 122 156 158 168 170
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: nenym
db: batch=72, k=12, 34 28 52 34 10

TPT(12)	686842076751769331	0 2 30 32 66 68 120 122 150 152 198 200	-322956268530
SPT(16)	686842100476227713	0 26 30 36 50 56 68 78 146 156 168 174 188 194 198 224	-299231810148
STPT(10)	686842197516228671	0 2 30 32 78 80 126 128 156 158	-202191809190
SPT(16)	686842224356731501	0 28 36 42 70 100 112 126 142 156 168 198 226 232 240 268	-175351306360
TPT(12)	686842288620618077	0 2 24 26 54 56 120 122 132 134 192 194	-111087419784
TPT(12)	686842373381324099	0 2 30 32 42 44 78 80 90 92 102 104	-26326713762
STPT(10)	686842474117148927	0 2 30 32 42 44 54 56 84 86	74409111066
TPT(12)	686842477579977491	0 2 66 68 78 80 120 122 126 128 180 182	77871939630
STPT(10)	686842479607001951	0 2 36 38 78 80 120 122 156 158	79898964090
TPT(12)	686842494312254279	0 2 102 104 138 140 150 152 198 200 312 314	94604216418
TPT(12)	686842528409226197	0 2 24 26 30 32 114 116 150 152 222 224	128701188336