The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+18x^31+42x^32+372x^33+204x^34+228x^35+894x^36+546x^37+714x^38+2406x^39+1086x^40+1368x^41+3276x^42+1362x^43+1338x^44+2838x^45+912x^46+636x^47+990x^48+246x^49+48x^50+132x^51+20x^54+6x^57

The gray image is a linear code over GF(3) with n=63, k=9 and d=31.
This code was found by Heurico 1.16 in 29.2 seconds.