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

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

Homogenous weight enumerator: w(x)=1x^0+84x^81+228x^82+248x^83+349x^84+378x^85+456x^86+686x^87+475x^88+330x^89+310x^90+212x^91+189x^92+78x^93+25x^94+22x^95+9x^96+10x^97+4x^98+1x^102+1x^152

The gray image is a code over GF(2) with n=696, k=12 and d=324.
This code was found by Heurico 1.16 in 1.09 seconds.