The generator matrix

 1  0  1  1  1 X^2+X  1  1  0  1 X^2+X  1  1  1  0  1  1 X^2+X X^2  1  1  1  1 X^2+X  1  1  0  1  1 X^2+X  1  X  1  1  1 X^2+X  0  X  0  0 X^2  X X^2+X  0  X  1  1 X^2  X  1 X^2  0  1  1  1  1 X^2+X  1  X
 0  1 X+1 X^2+X  1  1  0 X+1  1 X^2+X  1 X^2+1  0 X+1  1 X^2+X X^2+1  1  1  0 X+1 X^2+X X^2+1  1  X X^2+X+1  1 X^2 X^2+1  1  1  1  0 X^2+X X+1  1  1  1  1  1  1  1  1  1  0 X^2+1 X^2  1 X^2 X^2+X  1  1  0  X  0 X+1  1 X^2+X  X
 0  0 X^2  0  0  0  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2  0  0
 0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2
 0  0  0  0 X^2  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2
 0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 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+98x^54+44x^55+160x^56+60x^57+143x^58+56x^59+127x^60+56x^61+129x^62+28x^63+87x^64+12x^65+13x^66+7x^68+1x^76+1x^84+1x^86

The gray image is a linear code over GF(2) with n=236, k=10 and d=108.
This code was found by Heurico 1.16 in 0.13 seconds.