The generator matrix

 1  0  0  0  1  1  1  X  1  1  X  X  1  1  0  1  1  1  1  1  1  1  X  0  0  0  1  1  0  1  0  1  1  1  0  1  1  X  X  1  1  1  1  1  1  X  1  0  1  1  X  1  1  0  X  0  1  1  1  1  1
 0  1  0  0  0  0  0  X  1 X+1  1  1 X+1 X+1  1  1  X X+1  1  X X+1  0  1  X  X  1 X+1  0  0 X+1  1 X+1  X  1  1  0 X+1  1  0  X  0  0  1  1  0  1  X  1 X+1  X  1  1  X  0  1  0 X+1  1  1 X+1 X+1
 0  0  1  0  0  1 X+1  1 X+1  1  X  1  0  X X+1  1 X+1  X X+1  0  0  X  1  1  0  0  1  1  1  X  1  0  X  X  X X+1  X X+1  X  X  1  X  0 X+1  0 X+1 X+1  X  0  1  X  X  0  1  X  1 X+1  1  1  1 X+1
 0  0  0  1  1  1  0  1  X X+1 X+1  0  0  1  1  X  0  1 X+1 X+1  X  X  0  1  1 X+1  1  1  X  0  1  X  1  1  0  1 X+1  0  1 X+1 X+1  0 X+1 X+1  X X+1  0 X+1  1  1 X+1  X  0 X+1  1  0  X  1  1  1  1
 0  0  0  0  X  0  0  X  0  0  0  X  X  X  X  X  X  0  X  0  0  X  0  0  X  0  X  0  0  X  X  0  X  0  0  X  X  0  X  0  0  0  X  0  X  0  0  0  X  X  X  X  0  0  0  X  0  X  0  X  X
 0  0  0  0  0  X  X  X  X  X  0  X  0  0  X  0  0  X  0  X  X  X  X  X  0  X  X  0  X  X  0  0  X  0  X  X  X  0  X  0  0  0  X  0  0  X  0  0  0  0  X  0  X  X  X  0  X  X  0  0  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+50x^54+84x^55+71x^56+92x^57+82x^58+86x^59+94x^60+66x^61+59x^62+52x^63+47x^64+38x^65+36x^66+44x^67+24x^68+18x^69+18x^70+16x^71+13x^72+6x^73+6x^74+6x^75+6x^76+4x^77+5x^78

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 0.156 seconds.