The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+184x^55+79x^56+166x^57+68x^58+144x^59+51x^60+104x^61+24x^62+104x^63+23x^64+48x^65+4x^66+16x^67+4x^72+2x^73+1x^80+1x^84

The gray image is a linear code over GF(2) with n=236, k=10 and d=110.
This code was found by Heurico 1.16 in 3.01 seconds.