The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+606x^56+780x^57+504x^58+948x^59+990x^60+720x^61+924x^62+702x^63+72x^64+240x^65+22x^66+24x^68+12x^69+12x^71+2x^72+2x^75

The gray image is a code over GF(3) with n=270, k=8 and d=168.
This code was found by Heurico 1.16 in 55.3 seconds.