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 3 3 0 1 X X X X 1 1 1 1 1 X 3 3 3 0 1
0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 0 3 6 3 6 0 3 6 3 6 0 3 6 0 3 6 3 6 0 3 6 3 6 0 0 3 3 6 0 3 6 3 6 0 3 6 0 0 3 6 0 3 0 0 3 6 3 0
generates a code of length 90 over Z9[X]/(X^2+6,3X) 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 0.306 seconds.