The generator matrix

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

generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+156x^51+178x^54+324x^57+834x^60+504x^63+132x^69+42x^72+12x^78+4x^81

The gray image is a linear code over GF(3) with n=90, k=7 and d=51.
This code was found by Heurico 1.16 in 21.1 seconds.