The generator matrix

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

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+142x^21+148x^22+214x^23+138x^24+164x^25+48x^26+68x^27+36x^28+46x^29+12x^30+6x^31+1x^32

The gray image is a linear code over GF(2) with n=96, k=10 and d=42.
This code was found by Heurico 1.16 in 0.195 seconds.