The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+13x^56+32x^57+50x^58+320x^59+50x^60+32x^61+13x^62+1x^118

The gray image is a linear code over GF(2) with n=236, k=9 and d=112.
This code was found by Heurico 1.16 in 0.0964 seconds.