The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X X X X X
0 3 6 0 3 6 0 3 6 0 3 6 0 3 3 6 6 0 3 6 0 3 0
generates a code of length 23 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+14x^45+54x^46+6x^48+6x^54
The gray image is a code over GF(3) with n=207, k=4 and d=135.
This code was found by Heurico 1.16 in 0.00202 seconds.