The generator matrix

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

generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+61x^50+50x^52+57x^54+38x^56+29x^58+4x^60+7x^62+6x^66+1x^68+1x^72+1x^76

The gray image is a linear code over GF(2) with n=108, k=8 and d=50.
This code was found by Heurico 1.16 in 0.0286 seconds.