The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  0  X  1  1  1  0  X  X  0  1  X  1  1  X  1  1  0  1  X  0  X  1  1  1  1  1  0  1  1  1  1  X  1  1  1  1  1  X  1  1  1  1  0  1  1  X  1  0  X
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  0  1  X  0  1  1  X  1  1  1  1 X+1  X  1 X+1  1  0  1  X  1  1  0  0  1 X+1 X+1  X  0  1  1  X  X  X  0  0  1  1  0  X  X  1  X  1 X+1  0  0
 0  0  1  0  0  1 X+1  1 X+1  1  X  0  0  1  1  X  0 X+1  1  X  1  X X+1  X  1  X  1  X  1 X+1 X+1 X+1  1  0  1  0  0  X  X  0  0 X+1 X+1  1  0 X+1 X+1 X+1  X  X  1  1 X+1  X  X  0  1 X+1  0  X  1  X
 0  0  0  1  1  1  0  1  X X+1  1  1  0 X+1  0  0 X+1  X  0  1 X+1  X  0  1  1  X  0  1  X  1  X  0  1  X  X  0  0 X+1  0 X+1 X+1  X X+1  1 X+1  1  1 X+1  0  1 X+1 X+1  0  X  0  1  X  X  X  0 X+1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  X  0  0  X  X  X  0  X  X  0  X  0  0  X  X  X  X  X  0  0  X  0  X  0  0  X  0  0  X  X  0  X  X  0
 0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  0  X  X  X  X  0  X  X  0  X  X  X  X  0  0  0  0  X  0  X  0  X  X  0  0  0  X  0  0  0  X  X  0  0  0  0  X  0  X  X  X  0  0  X  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+213x^56+85x^58+257x^60+86x^62+137x^64+40x^66+92x^68+34x^70+51x^72+3x^74+11x^76+8x^78+6x^80

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 3.48 seconds.