The generator matrix
1 0 0 0 1 1 1 1 1 X 1 0 1 0 X X 0 0 1 1 1 0 1 X X 1 1 1 X 1 1 0 1 1 1 1 X 1 X X 1 1 1 X 1 X 1 1 0 1 1 0 1 0 1 1 X X 0 1
0 1 0 0 0 1 1 X 0 1 1 1 X+1 1 1 0 1 X 0 X X+1 0 X 1 1 X+1 1 1 X 1 X+1 X 0 X+1 X X+1 1 0 1 1 1 X X+1 X X+1 0 1 X+1 1 0 X+1 0 X+1 0 0 X X 0 1 0
0 0 1 0 1 1 0 0 X+1 X X+1 1 0 1 X 1 X+1 1 X X+1 0 X 1 X+1 0 1 1 1 1 X 1 1 X+1 0 X X+1 1 0 1 0 X 1 X+1 0 1 1 X 0 0 X X 1 1 1 0 X+1 X 1 1 1
0 0 0 1 1 0 1 1 0 X+1 1 X 0 X+1 0 X+1 X X 0 0 X+1 1 1 1 1 1 X 0 1 X 1 1 0 1 X+1 X+1 0 0 X X+1 X+1 0 X+1 1 X X+1 X X+1 X+1 X 0 0 X+1 X X 0 1 X+1 X+1 1
0 0 0 0 X 0 0 0 X 0 X X X 0 X 0 0 X 0 0 X X X X X 0 X 0 0 0 0 X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 X X 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X 0 X X X X X 0 X 0 0 0 X X 0 X X X X 0
0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X X X X X X 0 X 0 X X 0 0 0 0 0 X X 0 X X 0 0 0 X X X X X 0 X 0 X X X X 0 0 0 0 0 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+120x^52+290x^54+295x^56+282x^58+261x^60+201x^62+204x^64+155x^66+101x^68+79x^70+40x^72+15x^74+2x^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 1.16 in 0.526 seconds.