The generator matrix

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

generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+127x^52+290x^53+294x^54+478x^55+382x^56+504x^57+350x^58+360x^59+251x^60+370x^61+173x^62+176x^63+113x^64+82x^65+74x^66+24x^67+20x^68+14x^69+3x^70+2x^71+2x^72+2x^73+2x^74+2x^77

The gray image is a linear code over GF(2) with n=232, k=12 and d=104.
This code was found by Heurico 1.16 in 0.707 seconds.