The generator matrix

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

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+15x^20+32x^21+19x^22+16x^23+15x^24+8x^25+7x^26+1x^28+8x^29+5x^30+1x^34

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 0.00186 seconds.