Prime p₀= 253164876501410189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 76 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 108 110 120 122 138 140 162 164
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: desktop64
db: batch=69, k=12, 28 76 10 16 22

SPT(14)	253164811252721531	0 8 30 38 42 60 66 92 98 116 120 128 150 158	-65248688658
SPT(14)	253164812768951437	0 30 40 60 72 76 82 90 96 100 112 132 142 172	-63732458752
TPT(12)	253164834742875161	0 2 30 32 36 38 66 68 150 152 168 170	-41758535028
SPT(14)	253164850595628953	0 36 44 66 104 116 126 164 174 186 224 246 254 290	-25905781236
TPT(12)	253164863930742161	0 2 60 62 210 212 270 272 366 368 420 422	-12570668028
SPT(14)	253164873695155313	0 6 8 80 90 126 146 168 188 224 234 306 308 314	-2806254876
SPT(14)	253164923809463411	0 12 18 36 56 62 72 116 126 132 152 170 176 188	47308053222
TPT(12)	253164932097590057	0 2 24 26 30 32 54 56 72 74 114 116	55596179868
SPT(14)	253164941301747281	0 50 56 60 92 108 122 126 140 156 188 192 198 248	64800337092
SPT(14)	253164949344019441	0 42 46 66 70 100 156 166 222 252 256 276 280 322	72842609252
SPT(14)	253164953516668927	0 4 42 54 82 84 96 130 142 144 172 184 222 226	77015258738