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

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

Homogenous weight enumerator: w(x)=1x^0+218x^76+8x^77+396x^78+320x^79+454x^80+112x^81+224x^82+64x^83+142x^84+8x^85+76x^86+16x^88+8x^90+1x^144

The gray image is a code over GF(2) with n=640, k=11 and d=304.
This code was found by Heurico 1.16 in 33.9 seconds.