The generator matrix

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

generates a code of length 20 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+406x^36+120x^39+972x^40+576x^42+100x^45+6x^48+6x^54

The gray image is a code over GF(3) with n=180, k=7 and d=108.
This code was found by Heurico 1.16 in 0.268 seconds.