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

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

Homogenous weight enumerator: w(x)=1x^0+44x^76+16x^77+42x^78+48x^79+719x^80+48x^81+52x^82+16x^83+32x^84+2x^86+3x^88+1x^152

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 0.471 seconds.