The generator matrix

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

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+170x^56+336x^57+186x^58+64x^59+30x^60+14x^62+53x^64+112x^65+54x^66+2x^68+2x^70

The gray image is a linear code over GF(2) with n=236, k=10 and d=112.
This code was found by Heurico 1.16 in 38.4 seconds.