The generator matrix

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

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+98x^30+54x^32+198x^33+432x^35+328x^36+1296x^38+552x^39+1728x^41+504x^42+864x^44+322x^45+138x^48+36x^51+6x^54+4x^57

The gray image is a linear code over GF(3) with n=60, k=8 and d=30.
This code was found by Heurico 1.16 in 0.163 seconds.