The generator matrix

 1  0  1  1  1  0  1  1 X+3  1  1  1
 0  1  1  8  3  1 2X+1  8  1 2X+2  3 2X+4
 0  0 2X  0  3 2X+6 2X+3 2X+6  3 X+3 2X  3
 0  0  0  X X+6  6  X  3 2X+3 2X+6 X+6  3

generates a code of length 12 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+498x^18+1458x^20+1668x^21+7290x^22+5832x^23+19422x^24+14580x^25+5832x^26+2264x^27+204x^30

The gray image is a code over GF(3) with n=108, k=10 and d=54.
This code was found by Heurico 1.16 in 0.993 seconds.