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

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+224x^54+405x^56+514x^58+545x^60+448x^62+468x^64+416x^66+443x^68+294x^70+166x^72+106x^74+44x^76+14x^78+8x^80

The gray image is a linear code over GF(2) with n=126, k=12 and d=54.
This code was found by Heurico 1.10 in 36.6 seconds.