The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  1  1 X^2+X  0  0 X^2+X X^2  1  1 X^2+X  1 X^2  X  1
 0  1  0  0  0  1  1  1  X X+1 X^2+1 X^2+X X^2  1  1  1  X X^2  1  X X^2+X  0  1 X^2
 0  0  1  0  1  1  X X+1  0  X X+1  1 X^2 X+1 X^2  1  1 X+1  X  1 X^2  1  1  0
 0  0  0  1  1  0 X+1  1  1 X^2  1 X^2+X  1 X^2+1  1  X  0 X^2+1 X+1 X+1 X^2+X X+1 X^2  0
 0  0  0  0  X  0  0  0 X^2 X^2+X X^2+X  X  X X^2+X X^2  0 X^2  0  X X^2+X  0 X^2+X X^2 X^2+X
 0  0  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  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+70x^17+283x^18+796x^19+1429x^20+2582x^21+3437x^22+5168x^23+4942x^24+5350x^25+3721x^26+2668x^27+1246x^28+698x^29+267x^30+72x^31+29x^32+4x^33+4x^34+1x^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 9.38 seconds.