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

generates a code of length 91 over Z2[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+238x^86+128x^87+400x^88+116x^89+286x^90+104x^91+211x^92+76x^93+122x^94+32x^95+92x^96+16x^97+76x^98+28x^99+55x^100+24x^102+12x^103+21x^104+6x^106+2x^108+2x^112

The gray image is a linear code over GF(2) with n=364, k=11 and d=172.
This code was found by Heurico 1.11 in 0.437 seconds.