The generator matrix

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

generates a code of length 24 over Z2[X]/(X^2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+76x^17+157x^18+232x^19+283x^20+268x^21+370x^22+412x^23+416x^24+488x^25+409x^26+320x^27+264x^28+172x^29+117x^30+60x^31+27x^32+20x^33+2x^34+1x^36+1x^38

The gray image is a linear code over GF(2) with n=48, k=12 and d=17.
This code was found by Heurico 1.16 in 0.617 seconds.