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.