The generator matrix

 1  0  0  1  1  1  0  X  1 X^2  1  1  1  X  1 X^2+X  X  1 X^2  1 X^2 X^2+X  X  1
 0  1  0  0  1  1  1 X^2 X^2+1  1 X^2+X+1  X X^2+X  1 X^2+1  1  1 X+1  1 X^2+1  1  X X^2 X+1
 0  0  1  1 X^2 X^2+1  1  1  X X^2+X X+1 X^2+X+1  0 X^2+X+1 X^2+X  0 X^2+X X^2 X+1  1  X  1  1  1
 0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0  0  0 X^2 X^2  0  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+148x^21+148x^22+202x^23+126x^24+172x^25+68x^26+72x^27+32x^28+32x^29+8x^30+14x^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 1.11 in 0.5 seconds.