The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+212x^83+865x^84+844x^85+1164x^86+1064x^87+959x^88+684x^89+725x^90+420x^91+444x^92+204x^93+256x^94+148x^95+110x^96+68x^97+12x^98+4x^99+4x^100+2x^102+1x^106+1x^108

The gray image is a code over GF(2) with n=704, k=13 and d=332.
This code was found by Heurico 1.16 in 1.25 seconds.