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

generates a code of length 37 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+162x^72+324x^74+216x^75+18x^78+6x^81+2x^108

The gray image is a code over GF(3) with n=333, k=6 and d=216.
This code was found by Heurico 1.16 in 0.0162 seconds.