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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+78x^73+279x^74+360x^75+575x^76+744x^77+742x^78+1040x^79+772x^80+1094x^81+715x^82+660x^83+412x^84+190x^85+221x^86+92x^87+86x^88+60x^89+26x^90+20x^91+3x^92+10x^93+1x^94+4x^95+5x^96+1x^100+1x^116

The gray image is a code over GF(2) with n=640, k=13 and d=292.
This code was found by Heurico 1.16 in 1.98 seconds.