The generator matrix

1 0 0 0 0 1 1 1 X 1 1 0 1 X 1 X 0 1 1 0 X X 0 0
0 1 0 0 0 0 0 0 0 1 1 1 X X 1 0 X X+1 1 1 0 1 1 X
0 0 1 0 0 0 1 1 1 0 X X 0 X 1 1 X 1 X+1 1 1 X X 0
0 0 0 1 0 1 0 X+1 1 1 0 X+1 0 1 X 1 1 X+1 X 0 0 1 X 1
0 0 0 0 1 1 X+1 X 1 X 1 1 0 0 0 X+1 X X+1 1 0 X+1 0 X+1 1
0 0 0 0 0 X X 0 0 0 0 X X X X X 0 X 0 X 0 0 0 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+316x^20+384x^22+410x^24+368x^26+274x^28+136x^30+21x^32+2x^34+2x^36

The gray image is a linear code over GF(2) with n=48, k=11 and d=18.
This code was found by Heurico 1.10 in 0.046 seconds.