The generator matrix

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

generates a code of length 8 over Z3[X]/(X^2) who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+74x^6+292x^9+1140x^12+4374x^14+2000x^15+8748x^17+2056x^18+912x^21+86x^24

The gray image is a linear code over GF(3) with n=24, k=9 and d=6.
This code was found by Heurico 1.16 in 0.0717 seconds.