The generator matrix

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

generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+74x^30+230x^33+90x^35+484x^36+216x^37+360x^38+1288x^39+756x^40+900x^41+2578x^42+1296x^43+1530x^44+3220x^45+1566x^46+1098x^47+2206x^48+540x^49+396x^50+616x^51+156x^54+50x^57+32x^60

The gray image is a linear code over GF(3) with n=66, k=9 and d=30.
This code was found by Heurico 1.16 in 1.24 seconds.