The generator matrix

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

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+86x^36+26x^39+162x^40+38x^42+324x^43+38x^45+20x^48+14x^51+10x^54+8x^57+2x^60

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 0.0174 seconds.