The generator matrix

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

generates a code of length 37 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+24x^73+198x^74+12x^76+4x^78+2x^84+2x^93

The gray image is a code over GF(3) with n=333, k=5 and d=219.
This code was found by Heurico 1.16 in 0.0107 seconds.