The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+93x^54+182x^55+313x^56+226x^57+250x^58+224x^59+210x^60+94x^61+142x^62+60x^63+53x^64+86x^65+46x^66+8x^67+14x^68+10x^69+18x^70+6x^71+9x^72+2x^74+1x^78

The gray image is a linear code over GF(2) with n=236, k=11 and d=108.
This code was found by Heurico 1.11 in 0.125 seconds.