The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+130x^81+320x^82+504x^83+548x^84+446x^85+372x^86+364x^87+504x^88+476x^89+216x^90+88x^91+80x^92+24x^93+4x^94+4x^95+1x^96+6x^97+2x^101+4x^105+1x^112+1x^128

The gray image is a code over GF(2) with n=688, k=12 and d=324.
This code was found by Heurico 1.16 in 0.823 seconds.