What is the maximum volume of lebesgue measurable set $A\subseteq [0,6]$ such that...

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$\text{I came accross an interesting question:}$

$ $

$\text{What is the maximum volume of a lebesgue measurable set } A\subseteq[0,6]^2 \text{ such that: }$

$A \cap \bigl(A+\binom 12\bigl)=\emptyset $

$\text{I got only to } 5\pi \text{ but the answer is 24. What am I missing?}$