The generator matrix

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

generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+110x^18+230x^20+190x^22+206x^24+138x^26+106x^28+42x^30+1x^32

The gray image is a linear code over GF(2) with n=46, k=10 and d=18.
This code was found by Heurico 1.10 in 0.016 seconds.