Prime p₀= 53025706081496969 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 4 2 40 2 10 2 28 2 (?)
a_n: 0 2 72 74 78 80 120 122 132 134 162 164
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: 164
Found by: ChelseaOilman
db: batch=65, k=12, 70 4 40 10 28

SPT(14)	53025677276397373	0 4 48 70 78 88 106 168 186 196 204 226 270 274	-28805099596
TPT(12)	53025681697751591	0 2 90 92 96 98 168 170 180 182 288 290	-24383745378
SPT(14)	53025683221111309	0 10 42 48 70 88 100 120 132 150 172 178 210 220	-22860385660
SPT(14)	53025694111828157	0 12 26 32 62 80 102 104 126 144 174 180 194 206	-11969668812
SPT(16)	53025694487421827	0 56 96 110 132 134 146 152 204 210 222 224 246 260 300 356	-11594075142
SPT(14)	53025695680520461	0 28 40 42 72 90 100 138 148 166 196 198 210 238	-10400976508
SPT(14)	53025707944815457	0 24 46 66 76 90 124 132 166 180 190 210 232 256	1863318488
SPT(14)	53025712981871699	0 18 24 32 44 80 84 98 102 138 150 158 164 182	6900374730
TPT(12)	53025723993455909	0 2 42 44 48 50 90 92 192 194 210 212	17911958940
TPT(12)	53025726900161831	0 2 30 32 48 50 96 98 138 140 168 170	20818664862
SPT(14)	53025730470020993	0 6 26 38 48 60 80 84 104 116 126 138 158 164	24388524024