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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+366x^84+234x^87+112x^90+12x^93+4x^99

The gray image is a code over GF(3) with n=387, k=6 and d=252.
This code was found by Heurico 1.16 in 0.082 seconds.