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

generates a code of length 91 over Z16 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+110x^84+290x^85+336x^86+626x^87+583x^88+1032x^89+743x^90+1216x^91+661x^92+912x^93+455x^94+426x^95+248x^96+184x^97+83x^98+84x^99+45x^100+72x^101+41x^102+16x^103+16x^104+4x^105+5x^106+2x^109+1x^138

The gray image is a code over GF(2) with n=728, k=13 and d=336.
This code was found by Heurico 1.16 in 2.79 seconds.