The generator matrix

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

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+95x^52+76x^53+340x^54+228x^55+445x^56+316x^57+452x^58+300x^59+502x^60+308x^61+332x^62+236x^63+200x^64+68x^65+100x^66+4x^67+49x^68+16x^70+17x^72+8x^74+2x^76+1x^80

The gray image is a linear code over GF(2) with n=236, k=12 and d=104.
This code was found by Heurico 1.16 in 0.806 seconds.