Prime p₀= 167274727982027 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 120 122
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: 122
Found by: stoneageman
db: batch=60, k=12, 28 10 28 10 34

SPT(14)	167262890049131	0 42 56 66 108 116 120 128 132 140 182 192 206 248	-11837932896
TPT(12)	167264760248849	0 2 30 32 42 44 48 50 72 74 90 92	-9967733178
SPT(14)	167265069601241	0 8 20 62 78 108 122 138 152 182 198 240 252 260	-9658380786
TPT(12)	167265507340739	0 2 42 44 78 80 162 164 168 170 222 224	-9220641288
TPT(12)	167266505119031	0 2 36 38 48 50 66 68 108 110 126 128	-8222862996
SPT(14)	167271882871657	0 12 42 72 90 100 114 130 144 154 172 202 232 244	-2845110370
SPT(14)	167275043593279	0 24 34 40 42 52 70 72 90 100 102 108 118 142	315611252
TPT(12)	167275490758349	0 2 72 74 78 80 138 140 150 152 180 182	762776322
SPT(14)	167279108975701	0 6 30 76 90 118 126 142 150 178 192 238 262 268	4380993674
SPT(14)	167285436967711	0 28 46 60 88 90 132 166 208 210 238 252 270 298	10708985684
STPT(10)	167297299160207	0 2 60 62 72 74 84 86 144 146	22571178180