The generator matrix

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

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+318x^12+120x^13+1368x^14+1414x^15+7848x^16+4536x^17+20768x^18+15696x^19+4644x^20+2028x^21+150x^22+144x^23+14x^24

The gray image is a code over GF(3) with n=81, k=10 and d=36.
This code was found by Heurico 1.16 in 0.53 seconds.