The generator matrix

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

generates a code of length 28 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+60x^55+144x^56+30x^58+4x^60+4x^66

The gray image is a code over GF(3) with n=252, k=5 and d=165.
This code was found by Heurico 1.16 in 0.00392 seconds.