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

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

Homogenous weight enumerator: w(x)=1x^0+240x^69+124x^70+264x^71+258x^72+332x^73+258x^74+228x^75+124x^76+168x^77+16x^79+28x^81+2x^82+4x^83+1x^128

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 67 seconds.