The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1 X^2  1  0  1  1  1  1  X  0  X  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1 X^2+1  1  X X^2  1 X+1  1  0  1  X  X X^2  0  X  0
 0  0  X  0 X^2+X  0 X^2+X  0  X X^2  X  X  X X^2+X  0 X^2  0 X^2+X X^2+X X^2+X  X  X  X  0
 0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2
 0  0  0  0  0 X^2  0 X^2  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2
 0  0  0  0  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 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+33x^18+148x^19+130x^20+468x^21+220x^22+928x^23+273x^24+904x^25+217x^26+500x^27+97x^28+100x^29+39x^30+24x^31+10x^32+2x^34+1x^36+1x^38

The gray image is a linear code over GF(2) with n=96, k=12 and d=36.
This code was found by Heurico 1.16 in 0.202 seconds.