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  2  0  1  1  2 12  1  1  1  1  2  0  2 12  2  2  2  8  2  2  2  4  2  4  2  8  1  1  2  2  1  2  2  1  1  1  1  1  4  1  1  1  1  1  1  1  1  0  0  4  4  8  4  1  1  1  1  1
 0  2 12  6  0  6 12 10  8 14  4 10  8 14  4  2  0  6 12 10  0  6 12 10  8 14  6  2  4  2 10  2  8 14  4  2  6  2 10  2  0 12 14  2  8  4  2  2 14  2  2  2  0 12  0 12 12  4  8  0  6 10  6 10 12  8  8  4  4 14 14  2  2  4  4 12  0  0  8  0  8  6 14  0
 0  0  8  8  8  0  0  8  8  8  0  0  0  0  8  8  0  0  8  8  8  8  0  0  8  8  8  0  0  0  0  8  0  0  8  8  0  8  8  0  8  8  8  0  8  8  0  8  0  0  8  8  0  0  0  0  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+6x^82+142x^83+13x^84+36x^85+5x^86+46x^87+2x^88+4x^90+1x^106

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 0.517 seconds.