The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+80x^79+393x^80+826x^81+1443x^82+2186x^83+3192x^84+4160x^85+5211x^86+6208x^87+7674x^88+8944x^89+9337x^90+10444x^91+10457x^92+10274x^93+10116x^94+8864x^95+7905x^96+6696x^97+5241x^98+3964x^99+2677x^100+1846x^101+1222x^102+690x^103+501x^104+242x^105+118x^106+70x^107+30x^108+32x^109+15x^110+6x^111+2x^112+4x^113+1x^114

The gray image is a linear code over GF(2) with n=368, k=17 and d=158.
This code was found by Heurico 1.13 in 303 seconds.