The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+92x^56+128x^58+100x^60+48x^62+49x^64+28x^66+22x^68+12x^70+18x^72+4x^74+6x^76+4x^78

The gray image is a linear code over GF(2) with n=122, k=9 and d=56.
This code was found by Heurico 1.16 in 0.063 seconds.