The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  1  1  1  1  X  1  1 X^2  X
 0  1  1  0  1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1  0  1 X+1 X^2+1  X X^2+X+1  X  1 X^2 X+1  X X^2
 0  0  X  0  0  0  0  0  0 X^2 X^2  X  X  X  0 X^2+X X^2 X^2+X  X  X X^2+X X^2  0  X
 0  0  0  X  0  0  X X^2  X X^2 X^2+X  0  0  0 X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X  X X^2  0
 0  0  0  0  X  0  0  X X^2 X^2  0 X^2 X^2+X  X X^2+X X^2 X^2+X  X  0 X^2 X^2+X X^2+X X^2+X X^2
 0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 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+162x^18+116x^19+424x^20+620x^21+878x^22+1296x^23+1173x^24+1336x^25+894x^26+628x^27+408x^28+92x^29+114x^30+8x^31+41x^32+1x^40

The gray image is a linear code over GF(2) with n=96, k=13 and d=36.
This code was found by Heurico 1.16 in 0.943 seconds.