The generator matrix

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

generates a code of length 84 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+362x^81+325x^82+376x^83+154x^84+230x^85+245x^86+212x^87+36x^88+74x^89+5x^90+16x^91+2x^93+4x^95+4x^97+1x^118+1x^120

The gray image is a code over GF(2) with n=672, k=11 and d=324.
This code was found by Heurico 1.16 in 79.9 seconds.