The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+90x^53+123x^54+124x^55+159x^56+116x^57+160x^58+166x^59+116x^60+144x^61+128x^62+80x^63+81x^64+88x^65+98x^66+88x^67+68x^68+62x^69+37x^70+44x^71+23x^72+12x^73+30x^74+10x^75

The gray image is a linear code over GF(2) with n=122, k=11 and d=53.
This code was found by Heurico 1.10 in 0.406 seconds.