The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X
 0  6  0  0  0  6  0  3  3  0  6  6  0  3  6  6  6  3  0  6
 0  0  6  0  0  3  6  0  3  0  3  6  6  3  3  3  0  3  6  0
 0  0  0  6  0  3  6  3  0  6  3  0  6  6  0  6  3  6  3  0
 0  0  0  0  6  6  6  6  3  6  3  3  3  0  3  6  6  6  6  6

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

Homogenous weight enumerator: w(x)=1x^0+204x^36+216x^39+1458x^40+216x^42+72x^45+20x^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 0.106 seconds.