The generator matrix
1 0 1 1 1 1 1 X+3 1 1 1 1
0 1 2X+4 8 X+3 X+1 X+2 1 2X 0 X+3 0
0 0 3 0 0 6 3 3 0 3 3 0
0 0 0 6 0 3 3 6 3 0 3 0
0 0 0 0 3 3 6 3 3 3 0 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+162x^18+324x^20+492x^21+3402x^22+1296x^23+5202x^24+6804x^25+1296x^26+584x^27+120x^30
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 0.114 seconds.