The generator matrix

 1  0  1  1  1  1  3  1  1
 0  1  1  8  3 2X+4  1  8  0
 0  0 2X  0 X+3  3 X+3  6 2X
 0  0  0  6  6  0  3  6  0

generates a code of length 9 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+62x^12+504x^14+236x^15+2268x^16+1620x^17+8342x^18+4536x^19+1728x^20+334x^21+36x^23+16x^24

The gray image is a code over GF(3) with n=81, k=9 and d=36.
This code was found by Heurico 1.16 in 0.0648 seconds.