The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+35x^54+84x^55+87x^56+94x^57+88x^58+88x^59+85x^60+62x^61+66x^62+60x^63+40x^64+36x^65+35x^66+34x^67+23x^68+18x^69+23x^70+16x^71+16x^72+10x^73+8x^74+2x^75+4x^76+4x^77+4x^79+1x^82

The gray image is a linear code over GF(2) with n=122, k=10 and d=54.
This code was found by Heurico 1.16 in 0.172 seconds.