The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+479x^76+384x^77+684x^78+268x^79+658x^80+292x^81+576x^82+276x^83+282x^84+60x^85+84x^86+20x^88+8x^90+13x^92+8x^94+1x^96+2x^108

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 20.2 seconds.