The generator matrix

 1  0  0  0  0  1  1  1  0  1  X  X  1  1  X  1  0  1  1  1  1  1  1
 0  1  0  0  0  0  0  X  X  1  1  1  X X+1  X  1  X X+1  0 X+1 X+1  X  1
 0  0  1  0  0  X  1 X+1  1  0  1  1  0  X  1  X  0 X+1  0  X X+1  1  0
 0  0  0  1  0 X+1  1  0  1  X X+1  1  X  X  0  0  1  0  X  1  0  1  1
 0  0  0  0  1  1  X  1  1 X+1  X  0  1  X  1  X  X  X  1  1  0 X+1  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+120x^18+212x^20+198x^22+190x^24+164x^26+104x^28+30x^30+5x^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 1.16 in 0.0519 seconds.