The generator matrix

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

generates a code of length 21 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+116x^24+360x^27+686x^30+1314x^33+2154x^36+3072x^39+13122x^40+3858x^42+26244x^43+3354x^45+2328x^48+1486x^51+692x^54+232x^57+30x^60

The gray image is a linear code over GF(3) with n=63, k=10 and d=24.
This code was found by Heurico 1.16 in 9.29 seconds.