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  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  1  1  1  1  1  1  1  1  1  X  X  X  X  X  X  X  X  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  X  1  1
 0  6  0  6  0  6  3  3  3  0  0  6  6  0  6  3  3  3  0  0  6  6  0  6  3  3  3  0  0  6  6  0  6  3  3  3  0  0  6  6  0  6  3  3  3  0  6  6  6  0  3  3  3  0  0  6  6  0  6  3  3  3  0  6  6  6  0  3  3  3  0  0  6  6  0  6  3  0  3  3  0  0  6  6  0  6  0  3  3
 0  0  6  3  3  6  0  6  3  0  6  3  6  3  0  0  6  3  0  6  3  6  3  0  0  6  3  0  6  3  6  3  0  0  6  3  0  6  3  6  3  0  0  6  3  6  3  6  0  3  0  6  3  0  6  3  6  3  0  0  6  3  6  3  6  0  3  0  6  3  0  6  3  6  3  0  0  0  6  3  0  6  3  6  3  0  0  0  6

generates a code of length 89 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+16x^177+210x^178+8x^180+6x^196+2x^213

The gray image is a code over GF(3) with n=801, k=5 and d=531.
This code was found by Heurico 1.16 in 0.294 seconds.