The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  X  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  X 2X  X  X  X  X  X  X  0  X
 0  0  X  0  0  0  0  0  0  0  X  X  0  0 2X 2X 2X  X 2X  X  0 2X  X
 0  0  0  X  0  0  0  0  0  X 2X 2X  X 2X  0  0 2X 2X  X  0 2X  X 2X
 0  0  0  0  X  0  0  0  X 2X 2X 2X 2X  0 2X  0 2X 2X 2X 2X  X  X  0
 0  0  0  0  0  X  0  0 2X 2X 2X  0  X  X  0 2X  X  0  X  X 2X  0  X
 0  0  0  0  0  0  X  0 2X  X  0 2X 2X  X  0  X  0  0  X  X  0 2X 2X
 0  0  0  0  0  0  0  X  X  0  X 2X  X  X 2X 2X  0  0  0  X  0  0 2X

generates a code of length 23 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+96x^30+274x^33+408x^36+162x^38+564x^39+1296x^41+912x^42+3888x^44+1140x^45+5184x^47+1110x^48+2592x^50+954x^51+602x^54+330x^57+128x^60+36x^63+6x^66

The gray image is a linear code over GF(3) with n=69, k=9 and d=30.
This code was found by Heurico 1.16 in 42.7 seconds.