The generator matrix

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

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+78x^50+31x^52+55x^54+21x^56+49x^58+9x^60+9x^62+2x^64+1x^98

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 0.375 seconds.