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  1  1  0  1  1  1  1  0  1  1  1  1  4  1  1  1  8  8  1  1  1  2  1  0  1  1  2 12  1  1  2  1  1  1  2  1  2  0  2  2  2  1  2  2  1  1  2  1  2  1  1  2  1 12 12  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  6 10  0  6  4  4  8 14  2 14 10  0  4  6 12 12  4  2  8  0  2 10  2  6 14  2  8 10  8  2 12 14  8 12  4  4  2  4 12  6  8  2  4 14  6 12  4  4  6  6  2  0  8  8 14  2  0  2  6 12  2  6  2  2  6 14  2  2  8
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  6 14  0 14  8 12  6 14 12  4  2 10  2 14  2 12  0  4  2  6 14  0 12 14 14 12  2 14  2  2  4  6  6  6  2  4  8  2  2  8  6 12  4 12  8 10  2  8 12  8 12 14  8  0  2 10  2  4  6  8 12 12  6  8  2  2  0  8
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10  8  6  4 12  2 12  2  6  8  4 14  4  6 12 12 12  6  2  4 14 14 10 12  8  4  4  8  2 10  6  6  6  8 14 12  2  2  2  0 14  2  4  0 12 10  8 12 14  4  2  4 14 14 10  8  2  4 14  2  8 12  0  8 10 10  0 10  8  0

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

Homogenous weight enumerator: w(x)=1x^0+54x^81+311x^82+440x^83+592x^84+788x^85+663x^86+982x^87+881x^88+942x^89+660x^90+684x^91+366x^92+260x^93+175x^94+126x^95+100x^96+56x^97+58x^98+8x^99+28x^100+12x^101+4x^102+1x^130

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 1.91 seconds.