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

generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+324x^51+1698x^54+162x^60+2x^81

The gray image is a code over GF(3) with n=243, k=7 and d=153.
This code was found by Heurico 1.16 in 26.1 seconds.