The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  0  1  1  1  0  1  1  1  X  1
 0  1  1  2  0  1  2  1  0 2X+1  2  1  0  2  0  1 2X+1 2X+1  0  X  0
 0  0 2X  0  0  0  0  0  0 2X  X 2X  0 2X  X  X  X  0  0 2X  0
 0  0  0  X  0  0  0  0  0 2X 2X  X 2X  X  0  X  0  X  X  X 2X
 0  0  0  0  X  0  0  0  0  0  0  0 2X 2X 2X  X  X  X 2X  X  X
 0  0  0  0  0 2X  0  0  X  X 2X 2X  0  X  X  0  0 2X  0  X 2X
 0  0  0  0  0  0  X  0  X  0  X  X  X  X 2X  X 2X  X  0  X 2X
 0  0  0  0  0  0  0  X  X  X  0  X 2X 2X  X  X 2X 2X  0  0  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+142x^27+36x^29+308x^30+342x^32+642x^33+1944x^35+1770x^36+6570x^38+3918x^39+12276x^41+5520x^42+12150x^44+4596x^45+5544x^47+2022x^48+504x^50+462x^51+214x^54+70x^57+18x^60

The gray image is a linear code over GF(3) with n=63, k=10 and d=27.
This code was found by Heurico 1.16 in 7.95 seconds.