The generator matrix

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

generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+76x^17+145x^18+148x^19+153x^20+188x^21+233x^22+196x^23+170x^24+196x^25+219x^26+156x^27+59x^28+52x^29+43x^30+12x^31+1x^40

The gray image is a linear code over GF(2) with n=46, k=11 and d=17.
This code was found by Heurico 1.16 in 67.8 seconds.