The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  0  1  1  X  1  1  1 X^2+X  1 X^2+X  1  1  1  1  X  1  1  1  1  1  1  1  1 X^2+X  X  1  0 X^2+X  1  1  0 X^2  1  1  0  1  1  1  1  0  1  1  X
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1 X+1 X^2+X  1 X+1  0  1  X X+1  1  1  1  1 X^2+1 X+1  X X^2  1 X^2+X X^2+X+1 X^2 X^2+X+1  1 X^2+1  0 X^2+X  1  1 X^2+1  1  1 X^2+X X^2+1  1  1 X^2+1 X+1  1 X^2+X X^2+X+1 X^2+X X^2+X  1 X^2  0 X^2+X
 0  0  X  0 X^2+X  X  0  X  0  X  0 X^2 X^2+X  X  X  X  0 X^2  X X^2+X X^2 X^2 X^2+X X^2  0 X^2+X X^2 X^2  0 X^2+X  X  0 X^2 X^2+X X^2+X  0  X X^2 X^2+X  0 X^2+X X^2+X X^2  0  X X^2+X  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2  0 X^2  0
 0  0  0  X  0  X  X  X X^2+X  0 X^2  X X^2 X^2 X^2+X  X  X  0 X^2+X X^2  0 X^2+X  0 X^2+X X^2  X X^2  X X^2+X X^2 X^2  0 X^2+X  X  0  0 X^2+X  0  0  0 X^2 X^2+X X^2+X  X X^2 X^2 X^2 X^2+X  X X^2 X^2+X X^2 X^2 X^2 X^2+X X^2 X^2+X X^2+X  X
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0  0  0 X^2  0 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+325x^54+328x^56+411x^58+366x^60+353x^62+194x^64+31x^66+4x^68+26x^70+6x^74+2x^76+1x^80

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 4.57 seconds.