The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^54+16x^55+7x^56+1x^62+1x^70

The gray image is a linear code over GF(2) with n=108, k=5 and d=54.
This code was found by Heurico 1.16 in 0.02 seconds.