Prime p₀= 11544506597733827 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 28 2 46 2 10 2 76 2 (?)
a_n: 0 2 54 56 84 86 132 134 144 146 222 224
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: 224
Found by: emoga
db: batch=62, k=12, 52 28 46 10 76

TPT(12)	11544483458878631	0 2 6 8 18 20 48 50 60 62 126 128	-23138855196
SPT(14)	11544484009794419	0 8 12 38 48 54 80 162 188 194 204 230 234 242	-22587939408
SPT(16)	11544484078002829	0 22 28 48 78 84 88 100 132 144 148 154 184 204 210 232	-22519730998
SPT(14)	11544488585017391	0 6 20 38 42 48 56 72 80 86 90 108 122 128	-18012716436
SPT(14)	11544494420377249	0 34 78 84 90 94 114 154 174 178 184 190 234 268	-12177356578
SPT(14)	11544500415815041	0 6 28 70 72 82 100 108 126 136 138 180 202 208	-6181918786
SPT(14)	11544513612068797	0 22 34 42 54 64 96 100 132 142 154 162 174 196	7014334970
SPT(14)	11544516069275653	0 88 100 106 114 120 136 168 184 190 198 204 216 304	9471541826
SPT(16)	11544521918305657	0 22 42 52 112 130 136 150 166 180 186 204 264 274 294 316	15320571830
SPT(14)	11544524045041697	0 14 24 30 72 90 114 140 164 182 224 230 240 254	17447307870
SPT(14)	11544530359383811	0 6 30 72 88 102 132 166 196 210 226 268 292 298	23761649984