The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+78x^53+131x^54+132x^55+146x^56+156x^57+140x^58+142x^59+148x^60+104x^61+112x^62+122x^63+99x^64+76x^65+74x^66+80x^67+88x^68+78x^69+45x^70+24x^71+26x^72+16x^73+10x^74+10x^75+4x^76+4x^77+2x^79

The gray image is a linear code over GF(2) with n=122, k=11 and d=53.
This code was found by Heurico 1.16 in 1.56 seconds.