The generator matrix

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

generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+132x^54+144x^55+292x^56+152x^57+302x^58+236x^59+255x^60+152x^61+136x^62+44x^63+73x^64+22x^66+12x^67+24x^68+16x^69+32x^70+12x^71+10x^72+1x^76

The gray image is a linear code over GF(2) with n=236, k=11 and d=108.
This code was found by Heurico 1.16 in 0.227 seconds.