The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X X 1
0 3 0 0 0 0 3 6 6 0 0 3 3 3 3 3 3 0 3 0 3 6 6 3 0 3 0
0 0 3 0 0 3 6 0 6 0 3 3 6 6 0 3 0 3 3 3 0 6 3 6 3 6 0
0 0 0 3 0 6 6 3 0 3 3 0 0 3 6 3 3 0 3 6 3 3 0 3 3 6 0
0 0 0 0 3 6 6 6 6 6 0 6 0 0 6 6 0 6 0 0 3 6 0 6 3 6 3
generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 48.
Homogenous weight enumerator: w(x)=1x^0+80x^48+192x^51+1696x^54+166x^57+12x^60+2x^63+22x^66+12x^69+2x^72+2x^75
The gray image is a code over GF(3) with n=243, k=7 and d=144.
This code was found by Heurico 1.16 in 1.93 seconds.