The generator matrix

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

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+44x^54+46x^55+122x^56+146x^57+117x^58+172x^59+134x^60+134x^61+132x^62+142x^63+108x^64+106x^65+97x^66+84x^67+88x^68+74x^69+86x^70+46x^71+48x^72+44x^73+33x^74+16x^75+10x^76+8x^77+2x^78+6x^79+1x^80+1x^82

The gray image is a linear code over GF(2) with n=126, k=11 and d=54.
This code was found by Heurico 1.16 in 0.555 seconds.