The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  1  1  X  1  X  1  1  1  1  X  1  1  X  1  1  1  X  0  1  1  1  X
 0  X  0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0  0  X  X  X  X  0  X  X  0  X  X  0  X  X  0  X  X  X  0  X  X  0  X  X  0  0  0  0  0  0  X  0  X  0  X  X  0  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  0  X  X  0  0  0  0  0  0  X  X  0  X  X  0  0  X  X  X  X  X  0  0  X  X  X  X  X  X  X  0  0  X  0  0  0  0  X  0  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  0  X  0  X  X  X  X  0  X  0  X  0  0  0  X  X  X  X  0  0  X  0  X  0  X  X  0  X  0  0  X  0  0  0  0  0  0  0  X  0  X  X  X  X
 0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  X  0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  X  X  0  0  0  X  0  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  X  0  0  0  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  X  X  X  X  0  X  X  0  0  0  X  X  0  0  0  X  X  X  0  0  X  X  0  0  X  0  0  0  0  0  0  X  X
 0  0  0  0  0  0  X  0  0  X  0  0  X  0  0  X  X  X  0  X  X  0  X  X  0  0  X  0  0  0  X  X  X  X  0  0  X  0  X  0  X  X  X  0  0  0  0  X  0  0  X  X  0  0  X  X  X  0  X  X  0
 0  0  0  0  0  0  0  X  0  X  X  X  X  0  0  0  0  0  X  X  X  X  X  0  X  X  0  X  X  X  0  0  0  0  0  X  X  X  0  X  X  0  X  X  X  X  0  0  0  X  0  0  X  0  X  0  0  0  X  X  X
 0  0  0  0  0  0  0  0  X  X  X  X  0  0  X  X  X  0  0  0  X  0  0  0  X  0  X  0  0  X  X  X  0  0  0  X  0  X  0  X  X  0  0  X  X  0  X  X  X  0  X  0  0  X  0  0  0  0  X  X  0

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+91x^52+8x^54+167x^56+88x^58+200x^60+120x^62+165x^64+40x^66+75x^68+46x^72+18x^76+4x^80+1x^104

The gray image is a linear code over GF(2) with n=122, k=10 and d=52.
This code was found by Heurico 1.16 in 0.271 seconds.