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

generates a code of length 99 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+35x^88+36x^89+175x^90+178x^91+495x^92+348x^93+884x^94+614x^95+1488x^96+1160x^97+2030x^98+1522x^99+2115x^100+1194x^101+1582x^102+604x^103+808x^104+260x^105+364x^106+110x^107+137x^108+56x^109+60x^110+30x^111+21x^112+16x^113+14x^114+14x^115+13x^116+2x^117+8x^118+7x^120+1x^122+1x^126+1x^142

The gray image is a code over GF(2) with n=792, k=14 and d=352.
This code was found by Heurico 1.16 in 11.4 seconds.