The generator matrix

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

generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+148x^48+190x^50+160x^52+160x^54+108x^56+92x^58+54x^60+50x^62+35x^64+10x^66+6x^68+10x^70

The gray image is a linear code over GF(2) with n=108, k=10 and d=48.
This code was found by Heurico 1.16 in 0.131 seconds.