The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 6 0 0 6 0 6 6 3 0 0 6 6 0 3 6 3 3 0 6 3 0 6 3
0 0 6 0 3 6 3 6 3 0 6 6 0 3 0 0 6 6 3 3 3 3 6 0
0 0 0 6 3 3 0 3 3 3 6 0 3 0 3 6 6 0 6 6 6 3 6 0
generates a code of length 24 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 45.
Homogenous weight enumerator: w(x)=1x^0+16x^45+702x^48+8x^54+2x^72
The gray image is a code over GF(3) with n=216, k=6 and d=135.
This code was found by Heurico 1.16 in 0.00403 seconds.