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

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

Homogenous weight enumerator: w(x)=1x^0+36x^80+16x^81+100x^82+176x^83+386x^84+176x^85+80x^86+16x^87+18x^88+12x^90+6x^92+1x^160

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 0.56 seconds.