The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+46x^36+114x^38+48x^39+150x^41+56x^42+180x^44+52x^45+30x^47+28x^48+12x^50+4x^51+6x^54+2x^57

The gray image is a linear code over GF(3) with n=63, k=6 and d=36.
This code was found by Heurico 1.16 in 0.00318 seconds.