The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+30x^56+62x^57+50x^58+28x^59+57x^60+74x^61+34x^62+22x^63+20x^64+28x^65+19x^66+6x^67+7x^68+20x^69+15x^70+2x^71+9x^72+6x^73+7x^74+6x^75+4x^76+2x^77+3x^78

The gray image is a linear code over GF(2) with n=124, k=9 and d=56.
This code was found by Heurico 1.16 in 0.062 seconds.