The generator matrix
1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 0 1 1
0 1 1 2 0 1 2 1 0 2X+1 2 1 2X+1 2X+1 0 1 1 0 2X+1 1 X 0
0 0 2X 0 0 0 0 X X 2X X 2X 0 0 X 2X X 2X 0 0 X 0
0 0 0 X 0 0 X 2X 2X 2X X 0 X 2X X X 0 0 0 0 X 0
0 0 0 0 X 0 2X 2X X 2X 0 X 0 X X X 2X 0 0 X 0 0
0 0 0 0 0 2X X 2X X 2X 0 X 2X 0 2X 2X 0 2X X 0 0 2X
generates a code of length 22 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.
Homogenous weight enumerator: w(x)=1x^0+58x^33+48x^35+150x^36+318x^38+272x^39+948x^41+502x^42+1572x^44+540x^45+1248x^47+410x^48+240x^50+190x^51+38x^54+20x^57+6x^60
The gray image is a linear code over GF(3) with n=66, k=8 and d=33.
This code was found by Heurico 1.16 in 0.154 seconds.