The generator matrix

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

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+120x^51+204x^52+312x^53+1304x^54+1104x^55+2310x^56+5292x^57+4446x^58+7836x^59+11320x^60+6618x^61+7788x^62+6858x^63+2052x^64+660x^65+480x^66+126x^67+48x^68+112x^69+18x^70+18x^72+12x^73+6x^75+4x^78

The gray image is a code over GF(3) with n=270, k=10 and d=153.
This code was found by Heurico 1.16 in 3.69 seconds.