The generator matrix

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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+122x^87+153x^88+182x^89+123x^90+122x^91+59x^92+40x^93+43x^94+34x^95+33x^96+26x^97+20x^98+22x^99+9x^100+16x^101+5x^102+12x^103+1x^104+1x^122

The gray image is a linear code over GF(2) with n=364, k=10 and d=174.
This code was found by Heurico 1.11 in 0.343 seconds.