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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+23x^66+270x^67+322x^68+568x^69+676x^70+898x^71+1015x^72+1038x^73+925x^74+868x^75+492x^76+390x^77+232x^78+160x^79+75x^80+106x^81+55x^82+38x^83+14x^84+10x^85+8x^86+6x^87+1x^90+1x^104

The gray image is a code over GF(2) with n=584, k=13 and d=264.
This code was found by Heurico 1.16 in 1.82 seconds.