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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+176x^78+80x^79+72x^80+32x^81+96x^82+16x^83+16x^84+16x^86+5x^88+1x^96+1x^104

The gray image is a code over GF(2) with n=640, k=9 and d=312.
This code was found by Heurico 1.16 in 0.446 seconds.