The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+72x^81+168x^82+348x^83+639x^84+782x^85+914x^86+570x^87+1164x^88+730x^89+1044x^90+630x^91+462x^92+382x^93+165x^94+38x^95+35x^96+10x^97+8x^98+14x^99+4x^101+4x^105+2x^106+2x^108+2x^114+1x^116+1x^126

The gray image is a code over GF(2) with n=704, k=13 and d=324.
This code was found by Heurico 1.16 in 1.89 seconds.