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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6 X+6 2X  0  X 2X+6  3  3 X+3 X+6 2X+3 2X+3  3  X 2X+3  0 X+3 2X  0 X+3 2X  6 X+6 2X+6  6 X+6 2X+6  6  0 X+3 X+6 2X 2X+6  3  3  X  X 2X+3 2X+3  3  X 2X+3  0 X+3 2X  0  6 X+3
 0  0  6  6  3  3  3  6  0  6  0  6  0  6  0  3  3  3  0  6  0  3  6  3  3  6  0  0  3  0  3  6  6  6  0  3  3  6  6  0  6  0  3  3  0  0  6  3  6  0  3  3  0  6  0  3  0  3  6  3

generates a code of length 60 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+26x^117+108x^118+348x^120+216x^121+28x^123+2x^177

The gray image is a code over GF(3) with n=540, k=6 and d=351.
This code was found by Heurico 1.16 in 0.0886 seconds.