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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+50x^80+80x^81+130x^82+184x^83+170x^84+168x^85+110x^86+72x^87+32x^88+8x^89+8x^90+2x^92+6x^94+2x^98+1x^128

The gray image is a code over GF(2) with n=672, k=10 and d=320.
This code was found by Heurico 1.16 in 0.558 seconds.