The generator matrix

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

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+44x^51+48x^52+126x^53+442x^54+60x^55+1632x^56+1184x^57+90x^58+5730x^59+1950x^60+132x^61+5832x^62+1824x^63+120x^64+276x^65+88x^66+36x^67+12x^68+36x^69+6x^72+4x^75+4x^78+4x^81+2x^84

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 0.441 seconds.