The generator matrix

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

generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+140x^54+266x^56+311x^58+305x^60+211x^62+208x^64+187x^66+155x^68+139x^70+65x^72+34x^74+24x^76+2x^78

The gray image is a linear code over GF(2) with n=124, k=11 and d=54.
This code was found by Heurico 1.10 in 0.188 seconds.