The generator matrix

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

generates a code of length 94 over Z2[X]/(X^3) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+43x^82+86x^83+170x^84+322x^85+386x^86+506x^87+691x^88+926x^89+950x^90+1026x^91+1269x^92+1248x^93+1328x^94+1314x^95+1221x^96+1120x^97+939x^98+644x^99+555x^100+596x^101+356x^102+208x^103+131x^104+120x^105+66x^106+44x^107+43x^108+18x^109+16x^110+12x^111+12x^112+2x^113+8x^114+3x^116+2x^118+2x^122

The gray image is a linear code over GF(2) with n=376, k=14 and d=164.
This code was found by Heurico 1.16 in 24.8 seconds.