The generator matrix

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

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+80x^57+77x^58+86x^59+110x^60+28x^61+50x^62+24x^63+14x^64+32x^65+1x^66+2x^67+1x^72+4x^73+2x^80

The gray image is a linear code over GF(2) with n=240, k=9 and d=114.
This code was found by Heurico 1.16 in 0.143 seconds.