The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+116x^51+108x^52+192x^53+682x^54+204x^55+864x^56+1340x^57+822x^58+2952x^59+5078x^60+1368x^61+2982x^62+1622x^63+264x^64+216x^65+506x^66+132x^67+72x^68+110x^69+18x^70+12x^71+8x^72+8x^75+6x^78

The gray image is a code over GF(3) with n=270, k=9 and d=153.
This code was found by Heurico 1.16 in 0.793 seconds.