The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  0  1  1  X  1  1 X^2+X X^2  1  1  1
 0  1  1  0 X^2+X+1  1  0 X+1  1 X^2+1  1  X X+1  1 X^2+X+1 X^2  1  X  X  1  1 X^2  0 X^2+X
 0  0  X  0 X^2+X  0 X^2+X  X X^2 X^2+X X^2 X^2+X  0 X^2+X  0 X^2+X X^2+X X^2+X  0 X^2+X X^2+X X^2  X  X
 0  0  0  X  0  0  0  X X^2+X  X  X X^2  0 X^2+X X^2+X X^2 X^2 X^2  X  X X^2 X^2+X  X  X
 0  0  0  0 X^2  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0
 0  0  0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 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+167x^18+32x^19+514x^20+288x^21+1416x^22+704x^23+1921x^24+704x^25+1489x^26+288x^27+481x^28+32x^29+123x^30+26x^32+4x^34+1x^36+1x^38

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 4.19 seconds.