The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  1  1  1  0  1  X  X  1  1  1  1  1  1  0  0  1  1  0  1  1  0  0  X  1  X  0  1  1  X  1  1  1  1  1  1  X  0  0  1  1  X  0  1  X  1  X  1  1  0
 0  1  0  0  1  1  1  0  X  1 X+1  1  1  0  1 X+1  X  1  X  X  1  X  X  1  X  1 X+1  0  1  0  X  0 X+1  0  1  1  1  0  1  1  X X+1  X  0 X+1 X+1  X  X  1  X  1  1  1 X+1  1  1  0  1  0  X X+1  1  X
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  1  1  X  X  0 X+1  1 X+1  0  1  X X+1 X+1  1  1  1  X  0  1  X  0  X  0  1  1  1  0  X  1  1 X+1  0  X  1  X  0  1  1 X+1  1  X  1  1 X+1  0  0  1  X  0  1
 0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  X  X  0  X  X  X  0  0  0  X  X  X  0  X  X  0  0  X  X  X  0  X  0  X  X  X  X  0  X  X  0  X  X
 0  0  0  0  X  0  0  0  0  X  0  0  0  X  X  0  X  X  X  0  X  X  0  0  X  X  X  0  0  0  0  0  0  0  X  X  X  0  0  0  X  X  0  X  X  0  X  X  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  X  0  X  X  0  0  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  X  X  X  0  0  X  X  0  X  0  X  X  X  X  X  0  0  0  0  0  0  0  X
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  X  X  0  X  0  X  0  X  0  0  X  X  0  X  0  X  X  0  X  0  X  0  0  0  X  X  0  0  X  0  X  X  X  X  X  X  X  X  X  X  X  0  X  0  0  X
 0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  0  0  X  X  X  X  X  0  X  X  0  0  0  0  X  X  0  0  X  0  0  0  0  0  X  X  0  0  0  X  0  0  0  0  X  X  X  0  0  0  X  0  0  X  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+33x^54+88x^55+130x^56+104x^57+104x^58+134x^59+176x^60+158x^61+94x^62+138x^63+147x^64+114x^65+79x^66+78x^67+112x^68+102x^69+45x^70+54x^71+50x^72+30x^73+22x^74+20x^75+16x^76+4x^77+4x^78+8x^80+3x^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 0.618 seconds.