The generator matrix

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

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+41x^18+122x^19+141x^20+398x^21+346x^22+764x^23+492x^24+768x^25+340x^26+386x^27+122x^28+110x^29+38x^30+8x^31+11x^32+4x^33+3x^34+1x^36

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 0.209 seconds.