The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1 X^2  1 X^2+X  1  0  1  1  X  1  0  1 X^2+X  1  1  X  1  1 X^2  1 X^2  X X^2  1  X  1 X^2  0 X^2  1  X X^2+X X^2  1  1  X X^2+X  1  1  0  X  1  1  1  1  0  X  1
 0  1  0  0  0  0  0 X^2 X^2  1  1  1  1  1  1 X+1 X^2+X X^2+X+1 X^2+X  X X^2  1 X^2+1  1  X  X  1 X^2 X^2+X+1  X X^2+X+1 X^2+X  1 X^2  1 X^2+X X+1  1 X^2+X  1 X^2+1  1  1  1 X+1 X+1 X^2  X  1 X^2+X+1  1  1 X+1 X^2+1 X^2+1 X^2+X  1  0  0
 0  0  1  0  0 X^2  1 X^2+1  1  0  1 X+1 X^2+X+1 X^2+1  0  X  1  X X^2+X+1  1  1  0  X X^2+X X^2+X  0 X^2+1 X^2 X^2+X+1  1 X^2  0 X+1  X X^2+X X^2+X  1  X  1  0 X^2+X+1 X+1 X^2+1  0 X^2+X  X X^2  1 X^2 X^2+X X^2+X+1 X^2+1  0  1 X^2+X+1  0 X^2  0 X^2
 0  0  0  1  0 X^2+1  1  0  1 X^2 X^2+1 X+1 X^2 X^2+X X^2+1 X^2+X+1 X^2+X  1  0 X^2+X+1 X+1 X^2+1  X  0 X^2+X X^2+1 X+1  0  X X+1  X  1 X+1 X^2 X^2+X+1  1 X^2+X+1 X+1 X^2 X^2+X X^2+1 X^2+X  0  X X^2 X^2+1  1  0 X^2 X+1  1 X^2+X X^2 X^2+X+1 X^2 X^2+X X+1  1 X^2
 0  0  0  0  1  1 X^2  1  1 X^2+1 X^2  1 X+1  0  1  0 X^2+1 X+1 X^2+X X^2+X X^2+X+1  X X^2+X X^2+X+1  1 X^2  1 X^2+X X^2+X+1 X+1 X^2+1 X^2+X+1 X+1  1 X^2 X^2+1 X^2+X X^2+X X^2+X+1 X^2+X  0  1 X^2+X X^2+X+1 X^2 X^2+1 X^2 X^2+1  0  1  X X^2+1 X^2+X+1  X  1  0  0 X+1  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+92x^50+466x^51+939x^52+1108x^53+1632x^54+2210x^55+2323x^56+2974x^57+2925x^58+3454x^59+3000x^60+2972x^61+2482x^62+2138x^63+1520x^64+1110x^65+661x^66+344x^67+235x^68+100x^69+48x^70+12x^71+10x^72+8x^73+4x^76

The gray image is a linear code over GF(2) with n=236, k=15 and d=100.
This code was found by Heurico 1.13 in 12.1 seconds.