The generator matrix

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

generates a code of length 9 over Z3[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+216x^10+540x^11+252x^12+1728x^13+3024x^14+1368x^15+8100x^16+11016x^17+3102x^18+12744x^19+10476x^20+1800x^21+3456x^22+1188x^23+36x^24+2x^27

The gray image is a linear code over GF(3) with n=27, k=10 and d=10.
This code was found by Heurico 1.16 in 2.17 seconds.