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

generates a code of length 92 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+48x^82+120x^83+173x^84+368x^85+399x^86+758x^87+753x^88+1404x^89+1395x^90+1998x^91+1765x^92+1948x^93+1331x^94+1402x^95+710x^96+784x^97+349x^98+286x^99+133x^100+86x^101+38x^102+36x^103+31x^104+10x^105+15x^106+4x^107+7x^108+6x^109+7x^110+4x^111+9x^112+2x^113+2x^116+1x^118+1x^130

The gray image is a code over GF(2) with n=736, k=14 and d=328.
This code was found by Heurico 1.16 in 10.3 seconds.