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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+41x^52+70x^53+107x^54+138x^55+141x^56+140x^57+131x^58+138x^59+141x^60+130x^61+105x^62+108x^63+101x^64+96x^65+98x^66+88x^67+53x^68+62x^69+49x^70+34x^71+27x^72+12x^73+19x^74+6x^75+5x^76+2x^77+3x^78+2x^80

The gray image is a linear code over GF(2) with n=122, k=11 and d=52.
This code was found by Heurico 1.16 in 0.528 seconds.