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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+96x^85+159x^86+316x^87+385x^88+380x^89+557x^90+412x^91+548x^92+342x^93+361x^94+246x^95+147x^96+88x^97+5x^98+12x^99+6x^100+18x^101+5x^102+6x^103+4x^105+1x^112+1x^158

The gray image is a code over GF(2) with n=728, k=12 and d=340.
This code was found by Heurico 1.16 in 1.15 seconds.