The generator matrix

1 0 0 0 1 1 1 0 1 1 X 1 X 1 0 0 1 1 1 X 0 X 1 1 1 0 X X 1 0 X 1 1 0 1 0 1 X X 0 0 1 1 1 X 1 0 0 X 1 X 1 0 1 1 0 1 1 0 1 X
0 1 0 0 0 0 0 0 1 X+1 1 1 1 X+1 1 X X 1 0 1 1 X 0 X+1 1 X 1 X 0 1 1 X+1 X 1 0 1 X+1 0 1 X 0 X+1 X+1 X 0 X X 1 0 1 X X 0 X+1 X X X+1 0 X 1 0
0 0 1 0 0 1 1 1 X X+1 X+1 0 1 X+1 0 X 1 X X X+1 1 1 X 1 X+1 1 X 1 X+1 X X X X X+1 X+1 X X+1 1 X X 1 X 1 0 1 X 1 X+1 X X 1 X X X+1 1 0 X 0 1 X+1 1
0 0 0 1 1 X X+1 1 0 0 0 X+1 X+1 X+1 1 1 0 X 1 X 1 1 0 X+1 X X+1 0 X X+1 1 X X+1 1 0 1 X+1 X 0 1 1 X+1 1 0 X+1 X+1 0 X+1 X+1 1 X+1 X+1 1 1 X X 1 X X 1 1 0
0 0 0 0 X 0 X X 0 0 0 X X X X X X X 0 X 0 0 X 0 0 0 X X 0 0 0 X X 0 X X X X 0 0 0 0 X 0 0 0 X X X 0 X 0 X 0 0 0 X X X 0 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+88x^56+129x^58+87x^60+74x^62+43x^64+25x^66+25x^68+16x^70+10x^72+8x^74+2x^76+2x^78+2x^86

The gray image is a linear code over GF(2) with n=122, k=9 and d=56.
This code was found by Heurico 1.10 in 0.016 seconds.