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  2  1  2  1  2  1  1  2  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  2  2  1  1  1  1  4  4  2  2  4  2
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  4  0 12  0  4  8  0  8 12  8  0  4  8  0 12  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8  8 12  4  4 12  0  8  4 12  4 12 12 12  8  8
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8 12  4  8  8 12  4  4  4  8  4  8 12 12  4  8  8 12  4  8  8 12 12  8  4 12  0  8  8  4  4  0  8  4  4  0  0  4 12  0  0  4 12  8  0 12 12  0  4  0  0  8  4  4 12  0  0 12  4  8
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  0  0  0  8  8  0  0  8  8  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  0  0  8  0  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0  0  0  0  8  8  0  0  8  8  8  8  0

generates a code of length 80 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+38x^76+48x^77+152x^78+112x^79+381x^80+32x^81+160x^82+48x^83+26x^84+16x^85+8x^86+1x^88+1x^136

The gray image is a code over GF(2) with n=640, k=10 and d=304.
This code was found by Heurico 1.16 in 0.468 seconds.