The generator matrix

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

generates a code of length 24 over Z2[X]/(X^3) who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+72x^19+204x^20+434x^21+432x^22+658x^23+526x^24+664x^25+456x^26+380x^27+136x^28+82x^29+24x^30+10x^31+13x^32+4x^33

The gray image is a linear code over GF(2) with n=96, k=12 and d=38.
This code was found by Heurico 1.16 in 0.19 seconds.