The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+213x^52+252x^53+586x^54+556x^55+713x^56+676x^57+890x^58+740x^59+799x^60+596x^61+674x^62+436x^63+425x^64+252x^65+186x^66+60x^67+77x^68+16x^69+22x^70+9x^72+8x^74+3x^76+2x^78

The gray image is a linear code over GF(2) with n=236, k=13 and d=104.
This code was found by Heurico 1.16 in 3.09 seconds.