The generator matrix

 1  0  0  0  1  1  1 X^2+X  1  1  1  1  0  0 X^2+X  1  X X^2  0  1 X^2+X X^2+X  X  1
 0  1  0  0  0  1 X^2+1  1 X+1 X^2  X X+1  1  1 X^2 X+1  X  1  1 X^2  1  1  0  X
 0  0  1  0  1  1 X^2 X+1 X^2+X X^2+X X+1 X^2+X+1 X^2  1  1  0  1 X^2 X^2  X X^2 X^2+1 X^2+X  X
 0  0  0  1  1 X^2  1 X+1  X X^2+1  X X+1 X+1  0  1  1  0 X+1  X  0  1 X^2+X+1  1  X
 0  0  0  0  X  0  0  0  0 X^2 X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2+X  X  X  X X^2+X  0  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+127x^18+444x^19+710x^20+1334x^21+1717x^22+2572x^23+2559x^24+2526x^25+1776x^26+1494x^27+644x^28+282x^29+121x^30+48x^31+22x^32+2x^33+3x^34+2x^35

The gray image is a linear code over GF(2) with n=96, k=14 and d=36.
This code was found by Heurico 1.13 in 0.984 seconds.