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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+211x^74+16x^75+300x^76+184x^77+483x^78+560x^79+691x^80+576x^81+421x^82+192x^83+212x^84+8x^85+137x^86+69x^88+22x^90+4x^92+4x^94+2x^96+2x^98+1x^136

The gray image is a code over GF(2) with n=640, k=12 and d=296.
This code was found by Heurico 1.16 in 75.7 seconds.