The generator matrix

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

generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+80x^50+132x^52+96x^54+63x^56+50x^58+37x^60+22x^62+6x^64+6x^66+11x^68+2x^70+6x^72

The gray image is a linear code over GF(2) with n=110, k=9 and d=50.
This code was found by Heurico 1.16 in 0.0513 seconds.