The generator matrix

 1  0  0  1  1  1 10  2  1  1 10  1  1  4  1  1  2  1  1  8 14  1  1  8 14  1  1  4  1 14  1  6  8  1  1  0  1  1  1 12  6  6  4  1 14  1 10  4  1 12  1  1  1  8 14  1  4  4  2  2  8  1  1  1  0  1  2  1  6  1  1  1 10  1  1  1 10  1 14  1
 0  1  0  8  5 13  1  1  0 13  1 14 15  2  6  7  1 14  5  1  6  8 15  1  0  6  3  1  6  1  9  1 12  7  9  1 14 12 13  1  1 10  1 15  1 12  0  1  3  1 12  2 12  1  1  1  1  6  1  1  1 10  7  3  6  0 14  4  1 13  8 12  1  5  6  9  2  8  1  0
 0  0  1 11  3  8 15  6 14  6  5 11  3  1 10  2  0  1  5  9  1 13  9 15  1  0  4  6 13  5 15 11  1 12  9 13  6 13 12  0  8  1 15 13 14  3  1  2  2  5  2  8  4 14  1  6 11  1 11  1  3 11 15  3  1  2  1  7  4  7 14  5 10  1 15  2  1  7  4  0

generates a code of length 80 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+158x^76+700x^77+608x^78+784x^79+380x^80+438x^81+232x^82+252x^83+116x^84+194x^85+69x^86+72x^87+55x^88+24x^89+10x^90+1x^92+1x^96+1x^98

The gray image is a code over GF(2) with n=640, k=12 and d=304.
This code was found by Heurico 1.16 in 0.407 seconds.