The generator matrix

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

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+87x^54+169x^56+174x^58+150x^60+127x^62+100x^64+73x^66+58x^68+29x^70+25x^72+16x^74+8x^76+5x^78+1x^80+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 0.169 seconds.