The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+134x^18+328x^20+372x^22+380x^24+397x^26+296x^28+116x^30+19x^32+4x^34+1x^42

The gray image is a linear code over GF(2) with n=48, k=11 and d=18.
This code was found by Heurico 1.16 in 0.156 seconds.