The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  0  1  1  1  1  1  X  X  X  1  1  1
 0  X 2X  0 2X^2+X 2X  0 2X^2+X 2X X^2 2X^2+X 2X X^2+X X^2+2X  0 2X^2+X 2X 2X  X 2X^2+X  0  0 2X^2+2X X^2+X X^2 2X^2+X 2X^2 2X^2  X 2X
 0  0 X^2  0  0  0  0 2X^2 X^2  0 X^2 2X^2 X^2  0  0 2X^2 X^2 2X^2 X^2  0 2X^2 X^2 X^2 X^2 2X^2  0 2X^2  0 2X^2 2X^2
 0  0  0 X^2  0  0  0  0  0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 2X^2
 0  0  0  0 2X^2  0 X^2 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2  0 X^2 2X^2  0  0 X^2  0 X^2 X^2 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2
 0  0  0  0  0 X^2 X^2  0 2X^2 X^2 X^2 X^2 2X^2  0 X^2  0 X^2 X^2 X^2 2X^2 2X^2  0 2X^2 2X^2  0  0  0 X^2 2X^2 2X^2

generates a code of length 30 over Z3[X]/(X^3) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+48x^49+178x^51+360x^52+260x^54+588x^55+486x^56+312x^57+3786x^58+1944x^59+654x^60+6978x^61+1944x^62+468x^63+924x^64+120x^66+378x^67+126x^69+60x^70+54x^72+14x^78

The gray image is a linear code over GF(3) with n=270, k=9 and d=147.
This code was found by Heurico 1.16 in 90.8 seconds.