The generator matrix
1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 1 0 0 1 1 1 1 0 1 0 1 X 1 1 X 1 1 1 1 0 X 1 X 1 1 X 0 X 1 0 1 X 0 0 0
0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 X+1 0 1 1 X 0 X+1 X 1 1 1 0 1 0 X 1 X+1 1 1 1 1 1 1 1 0 X 1 1 1 X 1 X+1 1 1 1 X
0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 X X 0 X X X X 0 X 0 0 X X X 0 0 X X 0 X 0 0 X X X X 0 X 0 0 X X 0 X X 0
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X X 0 X X 0 X X 0 X 0 X 0 X X 0 0 0 0 X 0 0 0 X X 0 X X
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X X X X X X 0 X 0 0 0 X 0 0 X X X 0 0 0
0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X X 0 X X 0 0 0 0 X X 0 X 0 0 0 X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 X 0 X X X
0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X 0 0 X X X 0 X X 0 X X 0 X 0 0 X X 0 X X X 0 X 0 X 0 X 0 X X X X X X X 0
0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X X 0 X X 0 X X 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 X X 0 0 X 0
0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 0 X X 0 0 X 0 X 0 X X X X X X 0 0 0 0 0 X X X X X X 0 0 X X X 0 X 0 X
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+120x^52+128x^54+332x^56+200x^58+289x^60+216x^62+294x^64+184x^66+164x^68+40x^70+42x^72+33x^76+3x^80+2x^84
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 0.686 seconds.