The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  8  1  1  1  2  1  4  1  1  8  1  2  1  1  2  8  1  8  2  2  2  8  1  1  1  1  1  1 12  2  1  8  1  2  2  1  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4 12  6 14  0  2  4 14  2  0 12  2 12 14  8  4 14 12  2  4 14 12  2  2  0 12  2 10 10  4  4  4  0  6  8 12  2  6  2 12  0 12  8 12  2  2 14 14 12  2  2 10  2  8
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14 14 12 10  2 14  0  6 12  4  4 14 12  2  8 14  2  8  4  2 10 14 14  6  0 10  0  4  0 10  2  0  8  2 12  8  2 12  2  6  8 12 12 10  4 12  4  2 10  4  6 14 12
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10 10  8 12 12  6  4  4 14  2  8  6  6  0  6  0  6  6  2 14  8  0  4 12 12 14  6  4  2  2  0  4  2  6  4 10 12 12  8  2  4 14 14  4  0 14 12  6  2  2 14  2 12  6

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

Homogenous weight enumerator: w(x)=1x^0+221x^66+340x^67+576x^68+704x^69+908x^70+1004x^71+1147x^72+914x^73+771x^74+480x^75+395x^76+260x^77+222x^78+60x^79+54x^80+58x^81+38x^82+20x^83+18x^84+1x^108

The gray image is a code over GF(2) with n=576, k=13 and d=264.
This code was found by Heurico 1.16 in 2.29 seconds.