The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+94x^81+522x^82+970x^83+1725x^84+2044x^85+3343x^86+4228x^87+5343x^88+5960x^89+7775x^90+8484x^91+9301x^92+9936x^93+11029x^94+9910x^95+10013x^96+8804x^97+7962x^98+6214x^99+5427x^100+3714x^101+2995x^102+1956x^103+1387x^104+764x^105+543x^106+284x^107+131x^108+96x^109+57x^110+18x^111+16x^112+10x^113+12x^114+2x^117+2x^122

The gray image is a linear code over GF(2) with n=376, k=17 and d=162.
This code was found by Heurico 1.13 in 309 seconds.