The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+52x^57+53x^58+36x^59+51x^60+14x^61+4x^62+8x^63+3x^64+8x^65+6x^66+4x^67+7x^68+2x^69+2x^73+1x^74+1x^76+2x^81+1x^84

The gray image is a linear code over GF(2) with n=120, k=8 and d=57.
This code was found by Heurico 1.16 in 27.5 seconds.