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

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

Homogenous weight enumerator: w(x)=1x^0+51x^72+148x^73+239x^74+320x^75+539x^76+428x^77+935x^78+936x^79+1153x^80+874x^81+913x^82+502x^83+486x^84+220x^85+182x^86+84x^87+70x^88+44x^89+18x^90+8x^91+8x^93+14x^94+4x^95+1x^96+6x^97+2x^98+2x^99+3x^100+1x^118

The gray image is a code over GF(2) with n=640, k=13 and d=288.
This code was found by Heurico 1.16 in 2.31 seconds.