The generator matrix

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

generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+236x^54+421x^56+484x^58+526x^60+434x^62+511x^64+420x^66+414x^68+296x^70+195x^72+96x^74+44x^76+18x^78

The gray image is a linear code over GF(2) with n=126, k=12 and d=54.
This code was found by Heurico 1.16 in 13.2 seconds.