The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+36x^27+24x^29+116x^30+156x^32+184x^33+108x^34+540x^35+242x^36+864x^37+1410x^38+290x^39+2592x^40+2496x^41+344x^42+3456x^43+2538x^44+410x^45+1728x^46+1320x^47+278x^48+264x^50+164x^51+94x^54+18x^57+10x^60

The gray image is a linear code over GF(3) with n=63, k=9 and d=27.
This code was found by Heurico 1.16 in 1 seconds.