The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  0  0  1  1  1  0  1  1  0  1  1  0  0  1  1  0  0  X  X  X  X  0  X  X  0  1  1  1  0  1  X  1  1  0  1  1  X  X  X  0  1  1  X  0  X  1  1  0  1
 0  1  0  0  1 X+1  1  0  1  1 X+1  1  0  0  X X+1  1  X X+1  1  X  1  1  X  X  1  1  X  1  1  1  1  1  1  1  1  0  0 X+1  1 X+1  1  X  1  1  X  1  1  0  0  X  X  X  1  1  1  0  0  1  0
 0  0  1  1  1  0  1  X X+1 X+1  X  X  1 X+1  X X+1 X+1  0  1  1  1  X  0  1 X+1  0  X  1  1  1  1 X+1 X+1 X+1 X+1  1  0  0  0  X  0  X  0  0  X  0  0  X  X  X  X  1 X+1  X  0  0 X+1  1  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  X  0  0  X  X  0  0  X  0  X  X  0  X  X  0  0  0  X  X  0  0  0  X  0  X  X  X  0  X  0
 0  0  0  0  X  X  0  X  0  X  0  X  X  X  X  0  0  0  X  X  0  0  0  0  X  X  X  X  X  0  X  0  X  0  X  0  X  X  0  0  0  0  X  0  0  X  0  0  X  X  X  X  0  X  X  0  0  X  X  0

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+23x^56+62x^57+36x^58+16x^59+32x^60+16x^61+16x^62+16x^63+5x^64+12x^65+5x^66+3x^72+6x^73+6x^74+1x^82

The gray image is a linear code over GF(2) with n=120, k=8 and d=56.
This code was found by Heurico 1.16 in 0.0394 seconds.