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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+128x^85+420x^86+514x^87+721x^88+1150x^89+1150x^90+1828x^91+1594x^92+2082x^93+1474x^94+1564x^95+1033x^96+974x^97+474x^98+404x^99+274x^100+184x^101+186x^102+92x^103+72x^104+24x^105+24x^106+12x^107+2x^109+2x^111+1x^136

The gray image is a code over GF(2) with n=744, k=14 and d=340.
This code was found by Heurico 1.16 in 8.12 seconds.