The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  1  1  1
 0  X  0  0  0  0  0  0  0  0  X  X  0  0  0  X  X  X  X  X  0  0  0
 0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  0  0  0  0  0
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  0  X  X  0  0  0  0
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  X  0  X  0  0  X  X  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  X  X  X  0  0  0  X  X  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  X  0  X  0  0  0  0

generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+78x^16+32x^19+52x^22+192x^23+48x^24+32x^27+72x^30+1x^32+4x^38

The gray image is a linear code over GF(2) with n=46, k=9 and d=16.
This code was found by Heurico 1.16 in 0.016 seconds.