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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+48x^82+2x^83+156x^84+24x^85+3x^88+15x^90+6x^91+1x^98

The gray image is a code over GF(2) with n=672, k=8 and d=328.
This code was found by Heurico 1.16 in 0.388 seconds.