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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+68x^86+324x^87+443x^88+706x^89+689x^90+784x^91+851x^92+810x^93+934x^94+790x^95+490x^96+402x^97+251x^98+216x^99+132x^100+94x^101+72x^102+58x^103+22x^104+20x^105+10x^106+20x^107+4x^108+1x^132

The gray image is a code over GF(2) with n=744, k=13 and d=344.
This code was found by Heurico 1.16 in 2.14 seconds.