The generator matrix

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

generates a code of length 21 over Z3[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+306x^35+796x^36+396x^37+2466x^38+2802x^39+6588x^40+7668x^41+11958x^42+12852x^43+7740x^44+3856x^45+576x^46+666x^47+258x^48+108x^50+12x^51

The gray image is a linear code over GF(3) with n=189, k=10 and d=105.
This code was found by Heurico 1.16 in 9.26 seconds.