The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 14  1  1  2  1  1  8  1  4  1  1 10  1  1  2 14  1  1  1  0  1  4  1  1  1  1 14  1  1  1 12  1  1  1  8  1  1 10  4  1 10 14  1  1  1  1  1  4  1  1  4 10  1  1  1  1  6  0 12  1 12  1  1  1  1 12  8  0  8
 0  1 11  6 13  1  8  7  1 14  5  1 12  9  1 10  3  1  2  1  1 15  1 14  4  1  1  5  7  2  1  4  1 11  4  9  6  1  8 11 13  1 11  0  7  1  0  2  1  1 10  1  1  9 12  3 14  6  1 14 11  1  1 14 13  9  9  1  1  1 11  1  4 15  0  4  2  2  0  2
 0  0 12  0  4  0  4  4  8  4  0 12  8  8  4  0  0  4 12  4  4  8  0  4  4 12  4  8  4  0  8  4  4  0  0  0  8 12 12  4  4  8 12  4  8 12  8  4  0  0  8  4  0  8  8  8  4 12 12 12 12  4  0  0  4  0  8  8  0  8  4 12  4  8 12  4  4  8  4 12
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8  0  8  8  0  0  0  0  8  8  0  8  8  8  0  8  0  0  8  8  8  8  8  8  8  8  0  8  8  8  0  0  8  0  0
 0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  0  0  0  0  8  0  8  8  0  8  0  8  8  8  8  0  0  0  8  8  0  0  8  0  8  8  0  8  8  0  8  8  8  8  0  0  8  0  8  0  8  0  8  8  0  0  0  0  8  8  8  8  0  8  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  0  8  0  0  8  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  0  0  8  8  0  0  8  8  8  8  8  0  8  8  8  0  8  8  8  0  8  0  8  0  0  8  8  0  8  0  0  0  0  8  8  0  0  0  0  0  8  0  0  8  0  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+271x^74+128x^75+832x^76+528x^77+1205x^78+656x^79+1215x^80+608x^81+1044x^82+480x^83+698x^84+144x^85+280x^86+16x^87+55x^88+11x^90+4x^92+1x^94+8x^96+2x^98+2x^100+2x^102+1x^104

The gray image is a code over GF(2) with n=640, k=13 and d=296.
This code was found by Heurico 1.16 in 1.82 seconds.