The generator matrix

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

generates a code of length 93 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+188x^87+94x^88+248x^89+72x^90+328x^91+122x^92+230x^93+59x^94+170x^95+89x^96+146x^97+27x^98+104x^99+32x^100+48x^101+1x^102+38x^103+11x^104+26x^105+1x^106+4x^107+1x^108+6x^109+1x^116+1x^128

The gray image is a linear code over GF(2) with n=372, k=11 and d=174.
This code was found by Heurico 1.16 in 76 seconds.