The generator matrix

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

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+56x^30+18x^31+24x^32+334x^33+180x^34+450x^35+974x^36+774x^37+2196x^38+2406x^39+2196x^40+5676x^41+4828x^42+3870x^43+8676x^44+5570x^45+3762x^46+6930x^47+3762x^48+1998x^49+2292x^50+1468x^51+324x^52+226x^54+40x^57+12x^60+6x^63

The gray image is a linear code over GF(3) with n=66, k=10 and d=30.
This code was found by Heurico 1.16 in 8.53 seconds.