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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+152x^69+144x^70+196x^71+104x^72+564x^73+582x^74+776x^75+448x^76+580x^77+164x^78+136x^79+18x^80+92x^81+56x^82+40x^83+20x^85+12x^86+4x^87+4x^88+2x^90+1x^128

The gray image is a code over GF(2) with n=600, k=12 and d=276.
This code was found by Heurico 1.16 in 38.1 seconds.