The generator matrix

1 0 0 0 0 1 1 1 0 0 X 0 1 1 1 1 1 1 X X 1 1 0 1 X X 1 1 0 X 0 0 0 X X 0 1 1 1 X 0 0 1 1 1 1 X X 1 1 0 1 0 1 1 0 X X 1 1 1 0
0 1 0 0 0 0 0 0 0 0 0 X X X 0 X 1 1 1 1 X+1 1 1 X+1 1 1 1 X+1 X X 1 1 1 0 X 1 X X+1 0 0 X 1 X X+1 1 X X 1 X 1 1 X 1 0 X 1 1 0 X+1 X 0 X
0 0 1 0 0 0 1 1 1 X 1 1 0 1 0 X+1 1 X+1 0 X+1 X+1 X X+1 X X X X X+1 1 1 1 X+1 0 1 1 0 X 0 X 1 X X 0 X+1 1 X 0 X+1 X 0 X+1 1 X X X X X 1 X X+1 0 0
0 0 0 1 0 1 X X+1 1 1 0 1 1 0 X 1 1 X 1 X+1 X+1 X X 1 1 X 0 X X+1 0 X+1 0 X 1 X+1 0 X+1 X 1 X 1 0 X+1 0 0 X 0 1 0 X 1 0 1 X+1 X X X+1 X 1 1 X+1 0
0 0 0 0 1 X 0 X X 1 1 1 1 1 1 X+1 X+1 X 1 X 0 0 X+1 1 0 X+1 1 X+1 0 0 1 1 X X+1 X X 0 0 0 1 X X+1 X+1 X+1 0 1 1 X+1 X 1 X+1 X+1 1 1 X+1 X 1 X+1 0 0 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+205x^56+102x^58+255x^60+60x^62+163x^64+48x^66+80x^68+24x^70+43x^72+18x^74+17x^76+4x^78+4x^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 1.10 in 0.547 seconds.