The generator matrix

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

generates a code of length 20 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+136x^30+78x^31+282x^32+688x^33+366x^34+408x^35+1692x^36+942x^37+1218x^38+3286x^39+1488x^40+1284x^41+3448x^42+1092x^43+942x^44+1422x^45+408x^46+240x^47+214x^48+40x^51+8x^54

The gray image is a linear code over GF(3) with n=60, k=9 and d=30.
This code was found by Heurico 1.16 in 1.07 seconds.