The generator matrix

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

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+32x^18+82x^19+175x^20+318x^21+476x^22+642x^23+689x^24+630x^25+474x^26+278x^27+153x^28+74x^29+40x^30+22x^31+6x^32+2x^33+2x^34

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 0.212 seconds.