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

generates a code of length 73 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+120x^69+164x^70+242x^71+409x^72+352x^73+308x^74+212x^75+80x^76+48x^77+36x^78+34x^79+21x^80+8x^81+4x^82+8x^83+1x^136

The gray image is a code over GF(2) with n=584, k=11 and d=276.
This code was found by Heurico 1.16 in 6.37 seconds.