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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+120x^81+144x^82+204x^83+122x^84+216x^85+88x^86+80x^87+18x^88+16x^89+8x^90+4x^91+2x^100+1x^128

The gray image is a code over GF(2) with n=672, k=10 and d=324.
This code was found by Heurico 1.16 in 1.85 seconds.