The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  0  1  1  1  1  1  1  1  1  X  1  1  1
 0  X  0 X^2+X  0 X^2+X  0 X^2+X X^2  0 X^2+X  X X^2+X X^2+X  0  X  0 X^2 X^2+X  X X^2+X  0 X^2  0
 0  0 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0
 0  0  0 X^2  0  0  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0  0
 0  0  0  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2
 0  0  0  0  0  0 X^2  0 X^2 X^2  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2

generates a code of length 24 over Z2[X]/(X^3) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+21x^18+12x^19+46x^20+44x^21+104x^22+200x^23+178x^24+200x^25+103x^26+44x^27+26x^28+12x^29+24x^30+5x^32+3x^34+1x^42

The gray image is a linear code over GF(2) with n=96, k=10 and d=36.
This code was found by Heurico 1.16 in 0.0252 seconds.