The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1  1 12  1  1 10  1  6  1  1  0  1  1  1 12  1 10  1  1  4  2  1  1  1  1  1 12  1 10  1  2  1  1  1  0  0  1  8 10  1  1  1  2  1  1  1  6  2  1  6 14  8  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1 10  1  0  9  1 15 12  3  1  5  1  6 11  1  1  5  0  6  8  3  1 10  1  5 12 13  9 14  1  1  0  2  1  8  3  8  1 11  5 10  1  1 12  1  1  1  5  0
 0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  0  0  8  8  0  0  8  8  0  8  8  0  0  8  0  8  0  8  0  0  8  8  8  8  8  0  8  0  8  0  0  0  0  8  8  0  0  0  8  8  8  0  8  0  0  8  0  8  0  8  0  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  0  0  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  0  0  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  8  0  8  0  8  8  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  0  0  8  0  8  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  0  8  8  0  8  0  8  8  0  0  0  8  8  8  8  0  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  0  0  8  8  8  0  8  8  8  8  8  8  0  0  0  0  8  8  0  0  8  0  0  0  8  8  0  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  8  8  8  0  8  8  8  0  0  0

generates a code of length 72 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+22x^66+98x^67+442x^68+316x^69+469x^70+318x^71+813x^72+280x^73+540x^74+270x^75+333x^76+108x^77+54x^78+18x^79+8x^80+1x^82+1x^88+1x^90+1x^92+1x^94+1x^96

The gray image is a code over GF(2) with n=576, k=12 and d=264.
This code was found by Heurico 1.16 in 0.424 seconds.