The generator matrix

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

generates a code of length 30 over Z9[X]/(X^2+6,3X) 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.