The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  0  1  1  0  1  1  1  1  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1  0 2X+1  1  2  0  1  0  2  2  0  0
 0  0 2X  0  0  0  0  0  0 2X  X  X  0 2X  0  X  X  0  0 2X 2X 2X  0
 0  0  0  X  0  0  0  0  0  0 2X  X 2X 2X  X 2X  0 2X  0  0 2X  X  0
 0  0  0  0  X  0  0  0  0  0  0  0  0 2X  X  X 2X 2X 2X 2X  X  X  X
 0  0  0  0  0 2X  0  0  X 2X  0 2X  X 2X  X 2X  0  X  0  X  0  0  X
 0  0  0  0  0  0  X  0  X  0  X  0 2X 2X  0  X 2X  X  0  X 2X  X  X
 0  0  0  0  0  0  0  X  X  X  X 2X  0  0  X  X 2X  X 2X  0  0  X 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+108x^30+310x^33+18x^34+658x^36+216x^37+162x^38+1990x^39+1080x^40+1296x^41+5270x^42+2880x^43+3888x^44+9176x^45+4320x^46+5184x^47+9020x^48+3456x^49+2592x^50+4604x^51+1152x^52+1168x^54+326x^57+130x^60+40x^63+4x^66

The gray image is a linear code over GF(3) with n=69, k=10 and d=30.
This code was found by Heurico 1.16 in 9.61 seconds.