The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  6  1  1  1  4  1  1 10  1  0  1  1 10  1  1  1  4  1  1  2  1  1  1  1  8  1  1  1  1 14  8  2 12  6  4 14  8 14  4  2  2  0 14  0 14 12  2 12  2  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  2  1
 0  1 11  6  5  1 11 12  1  9  2  1  7  8  1  6  1  5  7  4  1  9 10  1  8  1 13 14  1  1  2  3  1  8 15  1  6 13 15 12  1  3  2  1  8  1  1  1  1  1  1  1  1  1  1  1  6  1  1  1  1  1 10  1  1  1  6  2  4  6 12  0 10  2  2  2  8  0 10 12  4 12 14  2
 0  0 12  0  0  0  0  8  8  8  8  8  8  4  4  4  4  4  4 12 12 12 12 12  0  4 12 12  0  8  4  0  4  4 12  0  8  0  8 12 12  4  0  4  8  8 12  8  4  0 12  8  0 12  8  4 12  8  4  8 12  0 12  0 12  4 12  0  8  4  4  0  8 12  0  4  8  4 12 12  4  8 12  8
 0  0  0 12  8  4  4  8  8  0  4 12 12  0  8 12 12  4  8  8  0 12  4  4  4 12  8  0  0  4  8  0  8  4  4  4  0 12  8 12  0 12  8  0 12 12  4  8  4  8 12  0  4  8 12  0 12  0  8  4 12  8 12 12  0  4  4 12  4  4  0 12  0 12  0  0  8 12  8  8  4  0 12  4

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

Homogenous weight enumerator: w(x)=1x^0+860x^80+576x^82+1280x^84+576x^86+776x^88+22x^96+4x^112+1x^128

The gray image is a code over GF(2) with n=672, k=12 and d=320.
This code was found by Heurico 1.16 in 0.908 seconds.