The generator matrix

 1  0  1  1  1  1  6  1  1
 0  1  1  8  6 2X+7  1  8  0
 0  0 2X  0 X+6  6 X+6  3 2X
 0  0  0  3  3  0  6  3  0

generates a code of length 9 over Z9[X]/(X^2+6,3X) 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 0.0687 seconds.