The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  1  X X^2+X  1  0  X  1  1  1  1  1  X  1  0  X
 0  1  0  1  0  1  1  X  1  X  1  1 X+1  X  1  0  0 X^2+X+1 X^2+X+1 X^2+X X^2  0  0 X^2
 0  0  1  1  1  0  1 X+1  1  X X^2+X X^2+1  X  1  X X^2+X+1 X^2  X  X  0  1 X^2  1  X
 0  0  0  X  0  0  0  0  0  0  0 X^2 X^2  X X^2+X  X X^2+X  X  X X^2  X  0 X^2  X
 0  0  0  0  X  0  0  0 X^2  X  X X^2+X X^2+X X^2+X X^2  0  0  X X^2 X^2+X  0  X  X X^2+X
 0  0  0  0  0  X X^2+X X^2+X  0  X X^2+X  0 X^2 X^2+X X^2  X X^2  0 X^2+X  0  X  X X^2+X  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+120x^17+383x^18+742x^19+1366x^20+2482x^21+3699x^22+4778x^23+5486x^24+4942x^25+3711x^26+2506x^27+1389x^28+702x^29+301x^30+102x^31+45x^32+10x^33+2x^34+1x^44

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 21 seconds.