The generator matrix

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

generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+36x^20+16x^22+54x^24+16x^26+2x^28+1x^32+2x^36

The gray image is a linear code over GF(2) with n=46, k=7 and d=20.
This code was found by Heurico 1.16 in 0.002 seconds.