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

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

Homogenous weight enumerator: w(x)=1x^0+56x^82+32x^83+356x^84+32x^85+12x^86+16x^88+4x^90+1x^104+2x^116

The gray image is a code over GF(2) with n=672, k=9 and d=328.
This code was found by Heurico 1.16 in 15 seconds.