The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1
0 3 0 0 0 0 0 0 3 3 3 3 0 6 0 0
0 0 3 0 0 0 0 3 6 3 6 3 3 3 0 0
0 0 0 3 0 0 0 6 6 0 3 3 0 3 0 0
0 0 0 0 3 0 0 6 6 3 0 6 0 6 0 0
0 0 0 0 0 3 0 6 6 6 0 0 3 3 0 0
0 0 0 0 0 0 3 6 3 3 6 0 0 3 0 0
generates a code of length 16 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+132x^18+44x^21+174x^24+308x^27+1698x^30+13122x^32+3486x^33+252x^36+198x^39+228x^42+36x^45+4x^48
The gray image is a code over GF(3) with n=144, k=9 and d=54.
This code was found by Heurico 1.16 in 0.256 seconds.