The generator matrix

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

generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+128x^52+256x^54+333x^56+284x^58+247x^60+194x^62+202x^64+166x^66+105x^68+80x^70+32x^72+10x^74+8x^76+2x^78

The gray image is a linear code over GF(2) with n=120, k=11 and d=52.
This code was found by Heurico 1.10 in 0.188 seconds.