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

generates a code of length 90 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 181.

Homogenous weight enumerator: w(x)=1x^0+54x^181+20x^183+2x^186+2x^189+2x^198

The gray image is a code over GF(3) with n=810, k=4 and d=543.
This code was found by Heurico 1.16 in 0.308 seconds.