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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+88x^77+122x^78+236x^79+150x^80+232x^81+94x^82+80x^83+8x^84+6x^86+4x^87+2x^90+1x^128

The gray image is a code over GF(2) with n=640, k=10 and d=308.
This code was found by Heurico 1.16 in 0.673 seconds.