The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^78+184x^79+89x^80+96x^81+18x^82+32x^83+22x^84+4x^85+2x^86+4x^89

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 0.273 seconds.