The generator matrix

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

generates a code of length 19 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+162x^36+324x^38+216x^39+18x^42+6x^45+2x^54

The gray image is a code over GF(3) with n=171, k=6 and d=108.
This code was found by Heurico 1.16 in 0.0165 seconds.