The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+210x^52+348x^53+206x^54+510x^55+954x^56+588x^57+2472x^58+1914x^59+3482x^60+4632x^61+1932x^62+684x^63+660x^64+414x^65+96x^66+246x^67+246x^68+44x^69+18x^70+24x^71+2x^78

The gray image is a code over GF(3) with n=270, k=9 and d=156.
This code was found by Heurico 1.16 in 8.76 seconds.