The generator matrix

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

generates a code of length 38 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+12x^75+216x^76+6x^78+2x^81+6x^87

The gray image is a code over GF(3) with n=342, k=5 and d=225.
This code was found by Heurico 1.16 in 0.0116 seconds.