The generator matrix

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

generates a code of length 24 over Z2[X]/(X^3) who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+195x^20+108x^21+280x^22+296x^23+352x^24+240x^25+284x^26+120x^27+128x^28+4x^29+24x^30+11x^32+4x^34+1x^36

The gray image is a linear code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 1.4 seconds.