The generator matrix
1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 X 1
0 1 1 2 0 1 2 1 2X+1 0 2 1 X 2X+1 1 2 2 1 X+2 1 2X+2
0 0 2X 0 0 0 0 0 0 2X 2X X 2X 2X X 2X 0 2X X 0 2X
0 0 0 X 0 0 0 X 2X X 0 0 X 0 2X X X X X X 0
0 0 0 0 X 0 X X X 2X X 2X 0 2X 2X 2X 0 2X 2X 2X X
0 0 0 0 0 2X 2X 0 2X 2X X 0 2X X 2X 0 2X 2X X 2X X
generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.
Homogenous weight enumerator: w(x)=1x^0+162x^33+84x^34+228x^36+480x^37+360x^39+1236x^40+624x^42+1644x^43+468x^45+870x^46+228x^48+60x^49+78x^51+32x^54+6x^57
The gray image is a linear code over GF(3) with n=63, k=8 and d=33.
This code was found by Heurico 1.16 in 2.43 seconds.