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

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

Homogenous weight enumerator: w(x)=1x^0+60x^82+407x^84+28x^86+7x^88+6x^90+1x^108+2x^114

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 0.538 seconds.