The generator matrix

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

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+274x^48+224x^52+318x^56+160x^60+37x^64+10x^72

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 12.6 seconds.