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  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  X  0  0
 0  0  X  0 2X  X 2X  X 2X  0  X  X  0 2X  0  0  X  X  X  0  0
 0  0  0  X 2X 2X  0 2X 2X 2X  X  0 2X  0 2X  X  X  0  X  0  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+22x^36+54x^40+38x^42+108x^43+4x^45+14x^51+2x^60

The gray image is a linear code over GF(3) with n=63, k=5 and d=36.
This code was found by Heurico 1.16 in 0.00117 seconds.