The generator matrix

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

generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+440x^54+396x^57+378x^60+738x^63+198x^66+30x^72+6x^81

The gray image is a linear code over GF(3) with n=90, k=7 and d=54.
This code was found by Heurico 1.16 in 11.7 seconds.