The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6  0 X+3
 0  0  6  6  3  3  3  6  0  6  0  6  0  3  3

generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+20x^27+132x^28+366x^30+168x^31+10x^33+24x^34+6x^36+2x^42

The gray image is a code over GF(3) with n=135, k=6 and d=81.
This code was found by Heurico 1.16 in 0.00146 seconds.