The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1 2X  1  1  1  0  1  1  1  1  1  1  X  X  X  3  3
 0  1 2X+7  8 X+1 X+6 X+5  1 2X  7 2X+8  1 2X+7  0  8  1 X+6 2X+3 X+1  4 X+5 2X+2  6  X 2X+6  1  1
 0  0  6  0  3  6  3  3  0  6  0  0  3  6  3  3  0  6  6  3  0  3  6  3  6  3  0

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+558x^51+180x^52+600x^54+288x^55+522x^57+18x^58+18x^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 8.56 seconds.