The generator matrix

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

generates a code of length 20 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+34x^33+54x^34+168x^35+152x^36+138x^37+300x^38+236x^39+108x^40+234x^41+166x^42+126x^43+228x^44+114x^45+60x^46+42x^47+22x^48+4x^51

The gray image is a linear code over GF(3) with n=60, k=7 and d=33.
This code was found by Heurico 1.13 in 0.0084 seconds.