The generator matrix

 1  0  0  0  0  1  1  1  1  0  1  X  1 X^2+X  1  1 X^2  1  1  1 X^2+X X^2  1  1  0 X^2 X^2  0  1 X^2+X  1  1 X^2+X  1  1  1 X^2+X  1  X  X  1  1  0  1  0 X^2  X X^2+X  1  0  1  X  1  1  1 X^2 X^2+X  1  X X^2  1  1  0  1 X^2+X  1 X^2 X^2  1  1  1  0  1  X X^2  1  1 X^2  1  0  1  1  1  0  1  1  1 X^2  0  1 X^2+X  0  1
 0  1  0  0  0  0 X^2 X^2  0  0 X^2+X+1  1 X+1  1  X X+1  1  1  X  1  0 X^2 X^2+1 X^2+X+1  0  1  1  1 X^2+1  1 X^2  X  0 X^2+X  X  0  X X+1  1  1  X  1 X^2+X  0  1  0  1  1  0 X^2  X  1 X+1  1 X^2+X+1  1  1 X^2+X+1 X^2+X X^2 X^2+X  X  1 X+1  1  0  1  1 X+1  0 X^2+X  X X^2+1  1  1  X  0  X  1  1 X^2+X X+1  0  0 X^2+1 X^2  1  1  1 X^2+X+1 X^2  1  0
 0  0  1  0  0  0 X^2+1 X+1  1  1 X^2  1 X^2+X+1 X^2 X^2 X^2 X^2+X X^2+1  1  X  1 X^2+X X+1  1  1  1 X+1  1 X^2+X  0  0 X+1 X^2+X X^2+X+1 X^2+X+1 X^2  1 X+1 X^2+X  X X^2 X^2 X^2+X X^2+X  0  1 X^2+X+1 X^2 X^2+X+1  1 X^2+1 X^2+X+1  1  X X^2+1 X^2 X^2+1 X^2+1  1  1 X^2+X X^2+1  X X+1  X X^2+X+1 X^2+X+1 X^2+1  1 X^2+X  1  1  0 X+1 X+1 X^2  0  1  0 X^2  0  0 X^2  1  1 X^2+1  1 X^2+X+1 X^2+X+1  1  1 X^2+X  0
 0  0  0  1  0  1  1  X  X X^2+X+1 X^2+X  0 X^2+X X^2  1 X+1  1 X^2+X+1 X^2+X+1  0 X^2  1 X^2+X+1  X  1 X^2+X+1  0 X+1 X^2+X+1 X^2+1  0 X^2+X  1 X+1 X^2+X X+1 X^2+X  X X+1 X^2  0 X^2+X+1  1 X+1 X^2+X+1 X^2+X+1 X^2+1  X  1 X+1 X^2+1  0 X^2+X  1  1 X^2+X+1 X^2 X^2  0 X^2+X+1 X+1 X^2+1 X^2+1 X^2+X+1  0 X^2 X+1 X^2+X  1  0  1 X^2+1 X^2  X  0  0 X^2+X  X  X  X X^2+X+1 X^2  0 X^2+1  X X^2+1 X^2+1 X+1 X^2+1 X^2  0 X^2+1  0
 0  0  0  0  1  1 X^2  0 X+1 X^2+1  0 X^2 X^2+1 X+1  X X^2+X+1  X  0  1  1  1 X^2+1 X^2+1  X X^2+X X^2+X+1 X+1 X^2 X^2+X X^2+X+1 X+1 X^2+1 X+1 X^2  X  X X^2+X+1  0 X^2 X^2+X X^2+1 X^2 X^2+X  1 X^2+1  X X+1 X^2+1 X+1 X^2+X+1 X^2+X X^2 X^2+X  1  1 X^2+X+1 X^2 X^2+1  X X+1 X^2+1 X^2+X+1  0 X^2+X+1 X+1  X X^2 X^2+X+1  X X^2 X^2+1  0  1  1 X^2+1  1 X^2+1  X X+1  0  1 X+1 X^2 X^2+X+1 X^2+X X^2 X^2+1  X  0 X^2+X X^2+1 X^2+X  0
 0  0  0  0  0  X  0  0  0  X  0  0  X X^2+X X^2 X^2+X X^2  0  X  X  X  X  X X^2 X^2 X^2+X X^2+X X^2  0  X  X X^2+X  X X^2  0  0 X^2+X X^2 X^2  X  0 X^2+X X^2+X  0 X^2 X^2+X X^2 X^2 X^2 X^2 X^2+X  X  X  0 X^2  0 X^2+X X^2+X X^2+X  X X^2  X X^2+X  0 X^2 X^2+X  X  0  X  0  0  X X^2  0 X^2+X X^2+X X^2  X  X X^2+X X^2  X X^2+X  X  X  X  X X^2+X X^2 X^2 X^2  0 X^2

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+81x^80+472x^81+772x^82+1726x^83+2012x^84+3394x^85+3987x^86+4966x^87+6374x^88+7532x^89+8554x^90+10074x^91+10041x^92+10850x^93+9791x^94+10228x^95+8977x^96+7998x^97+6383x^98+5504x^99+3675x^100+2902x^101+1722x^102+1256x^103+755x^104+452x^105+245x^106+158x^107+76x^108+46x^109+32x^110+4x^111+8x^112+18x^113+2x^114+2x^115+2x^119

The gray image is a linear code over GF(2) with n=372, k=17 and d=160.
This code was found by Heurico 1.13 in 307 seconds.