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

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

Homogenous weight enumerator: w(x)=1x^0+69x^66+254x^67+256x^68+550x^69+633x^70+798x^71+1136x^72+1094x^73+1137x^74+686x^75+555x^76+370x^77+163x^78+214x^79+82x^80+82x^81+41x^82+28x^83+13x^84+16x^85+4x^86+4x^87+5x^88+1x^114

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 1.69 seconds.