The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  1  0  1  X  X  1  1  0  X  0
 0  1  0  1  0  1  1  0  X  1 X+1  1  1  0  1  1  1  X  0  1  1  0  X
 0  0  1  1  1  0  1  0  1 X+1  X  0  1  0  0 X+1 X+1  1  1 X+1  1  1  X
 0  0  0  X  0  0  0  0  0  X  0  X  X  X  0  X  X  X  0  0  X  X  X
 0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0  X  X  0  X  0  X
 0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  X  0  0  0  X
 0  0  0  0  0  0  X  X  X  X  X  X  0  0  0  X  0  X  0  X  0  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+26x^17+74x^18+84x^19+93x^20+90x^21+92x^22+108x^23+104x^24+110x^25+76x^26+60x^27+50x^28+30x^29+12x^30+4x^31+7x^32+2x^34+1x^36

The gray image is a linear code over GF(2) with n=46, k=10 and d=17.
This code was found by Heurico 1.16 in 78.3 seconds.