The generator matrix

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

generates a code of length 11 over Z3[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+96x^14+128x^15+450x^16+768x^17+378x^18+1620x^19+2628x^20+624x^21+4266x^22+3720x^23+764x^24+2304x^25+1536x^26+278x^27+108x^28+6x^30+8x^33

The gray image is a linear code over GF(3) with n=33, k=9 and d=14.
This code was found by Heurico 1.16 in 0.296 seconds.