The generator matrix

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

generates a code of length 22 over Z3[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+52x^33+202x^36+216x^37+162x^38+736x^39+3186x^40+972x^41+9058x^42+11016x^43+1944x^44+16846x^45+11286x^46+1296x^47+1294x^48+540x^49+172x^51+42x^54+22x^57+6x^60

The gray image is a linear code over GF(3) with n=198, k=10 and d=99.
This code was found by Heurico 1.16 in 2.21 seconds.