The generator matrix

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

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+76x^56+142x^58+102x^60+64x^62+39x^64+20x^66+26x^68+14x^70+8x^72+10x^74+4x^76+6x^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 0.0654 seconds.