The generator matrix

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

generates a code of length 24 over Z2[X]/(X^3) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+82x^17+341x^18+644x^19+1458x^20+2458x^21+3742x^22+4944x^23+5272x^24+5146x^25+3820x^26+2388x^27+1428x^28+630x^29+282x^30+88x^31+31x^32+4x^33+7x^34+2x^36

The gray image is a linear code over GF(2) with n=96, k=15 and d=34.
This code was found by Heurico 1.16 in 9.29 seconds.