The generator matrix

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

generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+22x^56+44x^57+19x^58+27x^60+52x^61+26x^62+9x^64+20x^65+12x^66+4x^68+12x^69+6x^70+1x^76+1x^106

The gray image is a linear code over GF(2) with n=122, k=8 and d=56.
This code was found by Heurico 1.16 in 0.0432 seconds.