The generator matrix

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

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+46x^30+158x^33+204x^36+162x^38+242x^39+972x^41+332x^42+1944x^44+398x^45+1296x^47+314x^48+302x^51+124x^54+46x^57+18x^60+2x^63

The gray image is a linear code over GF(3) with n=66, k=8 and d=30.
This code was found by Heurico 1.16 in 0.223 seconds.