The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+44x^50+94x^51+198x^52+342x^53+439x^54+516x^55+596x^56+736x^57+802x^58+798x^59+849x^60+700x^61+545x^62+524x^63+309x^64+218x^65+182x^66+96x^67+84x^68+50x^69+32x^70+20x^71+10x^72+2x^73+3x^74+1x^76+1x^82

The gray image is a linear code over GF(2) with n=236, k=13 and d=100.
This code was found by Heurico 1.16 in 3.82 seconds.