The generator matrix

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

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+83x^56+60x^58+91x^60+64x^62+88x^64+60x^66+40x^68+8x^70+6x^72+5x^76+4x^80+1x^88+1x^96

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 0.063 seconds.