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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+129x^72+228x^73+596x^74+600x^75+940x^76+1416x^77+1650x^78+1944x^79+1884x^80+2016x^81+1391x^82+1156x^83+882x^84+464x^85+397x^86+228x^87+199x^88+92x^89+65x^90+36x^91+22x^92+8x^93+25x^94+4x^95+6x^96+4x^98+1x^112

The gray image is a code over GF(2) with n=640, k=14 and d=288.
This code was found by Heurico 1.16 in 7.23 seconds.