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

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

Homogenous weight enumerator: w(x)=1x^0+104x^84+288x^85+452x^86+600x^87+621x^88+884x^89+934x^90+930x^91+828x^92+714x^93+549x^94+448x^95+201x^96+194x^97+158x^98+98x^99+60x^100+58x^101+36x^102+17x^104+6x^105+6x^106+4x^107+1x^134

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 2.06 seconds.