The generator matrix

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

generates a code of length 20 over Z3[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+150x^35+348x^36+1212x^38+1128x^39+2322x^41+1152x^42+192x^44+36x^45+12x^47+6x^48+2x^54

The gray image is a linear code over GF(3) with n=180, k=8 and d=105.
This code was found by Heurico 1.16 in 1.36 seconds.