The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  0  1  X  0  1  1  1  X  1  0  1  1  1  1  1  X  X  1  X  X  1  0  0  1  X  0  1  X  1  1  1  1  0  1  0  1  0  1  0  X  0  1  1  1  X  X  X  X  1  1  X
 0  1  0  0  0  X  X  X  0 X+1  1  1 X+1  1  1 X+1 X+1  0  1  X  X  X  1 X+1  0 X+1  1  1  0  0  1 X+1  X  1  X  X  X  X  X X+1  X X+1  1  1  X  1  1  1  0  1  1  1  1  X X+1  1  X  1  X  1  0  1
 0  0  1  0  0  0  0  0  0  0  0  X  X  X  0  X X+1  1  1  1  1 X+1 X+1 X+1  1  1 X+1 X+1  X  X  1 X+1  1  0  X  1  X  1  0  0  X  1  X X+1  1  X  X X+1  X X+1 X+1  X  0  X  1  0  1 X+1  0  X X+1  0
 0  0  0  1  0  0 X+1  1  1  0  X  0  1 X+1 X+1 X+1 X+1  1  X  X X+1 X+1  0  1  X  X X+1  1  0  X  0  0  0  X  X  0  1 X+1  1  X  0  0  1  1  1 X+1  X  X X+1 X+1  0  1 X+1  0 X+1  0  1 X+1  1  1  1  X
 0  0  0  0  1  1 X+1  0  1  X X+1 X+1  X  1  X X+1  1 X+1  X X+1  1  X X+1  0  X  0  0  1  1  1 X+1 X+1  0  1  1  0  X  0  X  1  X  0  X  1  1  0  X X+1  X  X X+1 X+1  0 X+1  X  X X+1  X X+1  0 X+1  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+156x^56+182x^58+198x^60+152x^62+77x^64+76x^66+60x^68+44x^70+34x^72+16x^74+18x^76+8x^78+2x^82

The gray image is a linear code over GF(2) with n=124, k=10 and d=56.
This code was found by Heurico 1.16 in 1.02 seconds.