The generator matrix

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

generates a code of length 24 over Z2[X]/(X^3) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+12x^21+9x^22+73x^24+18x^25+6x^26+6x^28+1x^30+2x^33

The gray image is a linear code over GF(2) with n=96, k=7 and d=42.
This code was found by Heurico 1.16 in 0.0402 seconds.