The generator matrix
1 1 1 1 1 1 1 X X 1 1 X
0 X 2X 0 X+3 2X 0 X+3 2X X+3 2X X+3
0 0 6 0 0 0 0 3 3 6 6 6
0 0 0 6 0 0 6 3 0 3 3 6
0 0 0 0 3 0 3 3 3 3 0 3
0 0 0 0 0 6 3 0 6 3 6 6
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+480x^18+486x^20+1296x^21+1458x^22+1944x^23+6966x^24+2916x^25+1944x^26+2168x^27+24x^36
The gray image is a code over GF(3) with n=108, k=9 and d=54.
This code was found by Heurico 1.16 in 0.168 seconds.