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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+65x^74+188x^75+259x^76+394x^77+395x^78+468x^79+699x^80+498x^81+309x^82+304x^83+204x^84+150x^85+68x^86+12x^87+36x^88+14x^89+10x^90+20x^91+1x^92+1x^134

The gray image is a code over GF(2) with n=640, k=12 and d=296.
This code was found by Heurico 1.16 in 0.814 seconds.