The generator matrix

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

generates a code of length 60 over Z2[X]/(X^3) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+64x^57+138x^58+54x^59+68x^60+56x^61+52x^62+38x^63+4x^65+25x^66+1x^68+4x^69+1x^70+4x^73+2x^76

The gray image is a linear code over GF(2) with n=240, k=9 and d=114.
This code was found by Heurico 1.11 in 0.047 seconds.