The generator matrix

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

generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+294x^87+112x^88+350x^89+132x^90+284x^91+99x^92+162x^93+50x^94+186x^95+71x^96+60x^97+17x^98+100x^99+12x^100+42x^101+8x^102+32x^103+5x^104+24x^105+1x^106+3x^108+1x^112+2x^113

The gray image is a linear code over GF(2) with n=368, k=11 and d=174.
This code was found by Heurico 1.11 in 817 seconds.