The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  0  X X^2  0  X  1  1 X^2  0  1  1
 0  X  0  0  0  0  0 X^2 X^2  X X^2+X X^2+X X^2+X X^2 X^2+X  X  X X^2  0 X^2+X  X X^2 X^2  0
 0  0  X  0  0 X^2 X^2+X  X  X  X  X X^2+X  0 X^2  X X^2+X  0 X^2+X X^2+X  0 X^2  X X^2  0
 0  0  0  X  0 X^2+X X^2+X  X X^2 X^2+X X^2+X X^2+X  X  X X^2 X^2 X^2  X X^2+X  X X^2+X  X  0  0
 0  0  0  0  X  X X^2 X^2+X  X X^2+X X^2  0  X  0  X  0 X^2 X^2 X^2+X  0  0  X  X  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+44x^18+72x^19+81x^20+228x^21+88x^22+476x^23+95x^24+488x^25+82x^26+192x^27+71x^28+52x^29+36x^30+28x^31+8x^32+6x^34

The gray image is a linear code over GF(2) with n=96, k=11 and d=36.
This code was found by Heurico 1.16 in 0.0776 seconds.