The generator matrix

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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+82x^81+395x^82+646x^83+955x^84+820x^85+888x^86+938x^87+876x^88+720x^89+833x^90+414x^91+311x^92+146x^93+42x^94+38x^95+22x^96+12x^97+14x^98+12x^99+8x^100+10x^101+4x^102+1x^104+2x^105+1x^112+1x^120

The gray image is a code over GF(2) with n=696, k=13 and d=324.
This code was found by Heurico 1.16 in 1.71 seconds.