The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+42x^53+88x^54+88x^55+61x^56+96x^57+133x^58+78x^59+22x^60+44x^61+82x^62+48x^63+25x^64+44x^65+54x^66+24x^67+8x^68+18x^69+20x^70+16x^71+9x^72+12x^73+5x^74+2x^75+2x^76+2x^78

The gray image is a linear code over GF(2) with n=120, k=10 and d=53.
This code was found by Heurico 1.16 in 0.254 seconds.