The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  X  1  1  1  X  1  X
 0  X  0  0  0  0  0  0  X  0  X  X  0  0  X  0  X  X  0  0  0  X  X
 0  0  X  0  0  0  0  0  X  X  X  0  0  X  X  X  X  X  X  0  X  X  0
 0  0  0  X  0  0  0  X  0  X  0  X  0  X  X  0  X  0  X  0  0  X  X
 0  0  0  0  X  0  0  X  0  0  X  X  0  X  0  X  X  0  0  X  X  X  X
 0  0  0  0  0  X  0  X  X  0  X  0  X  0  X  X  X  0  X  X  0  X  0
 0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  X  X  X  X  X  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+24x^18+51x^20+62x^22+58x^24+30x^26+12x^28+10x^30+5x^32+2x^34+1x^36

The gray image is a linear code over GF(2) with n=46, k=8 and d=18.
This code was found by Heurico 1.16 in 0.171 seconds.