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

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

Homogenous weight enumerator: w(x)=1x^0+28x^72+122x^73+252x^74+352x^75+445x^76+672x^77+802x^78+976x^79+1156x^80+906x^81+752x^82+644x^83+374x^84+246x^85+169x^86+104x^87+53x^88+38x^89+37x^90+16x^91+15x^92+14x^93+3x^94+8x^96+2x^97+4x^99+1x^122

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 2.12 seconds.