The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+120x^52+128x^54+332x^56+200x^58+289x^60+216x^62+294x^64+184x^66+164x^68+40x^70+42x^72+33x^76+3x^80+2x^84

The gray image is a linear code over GF(2) with n=122, k=11 and d=52.
This code was found by Heurico 1.16 in 0.686 seconds.