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  0  0  0  0 2X  X 2X  X  X  X 2X 2X  X  0  X  X  X 2X  X  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X 2X 2X  0 2X  X  0  X 2X 2X 2X  0  X  X  0 2X  0
 0  0  0  X  0  0  0  0  0  X  X 2X 2X 2X  0 2X  0  0  X 2X  X  X 2X  0  0  0 2X 2X  0  0
 0  0  0  0  X  0  0  0  X 2X 2X 2X 2X  0 2X 2X  X 2X  X 2X  X  X  X  X  X  0  X  0 2X  0
 0  0  0  0  0  X  0  0 2X 2X  X 2X  0  X  0 2X  X  0  X  X  0 2X  0  X  X  0 2X  0  0  X
 0  0  0  0  0  0  X  0 2X  X 2X  0 2X  X  0  X  0  X  X  X  X  X  X 2X  X  X  0 2X 2X 2X
 0  0  0  0  0  0  0  X  X  0  X  X 2X  X 2X  0 2X  0  0 2X 2X  0 2X 2X  0  X  X  X  0  0

generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+50x^42+268x^45+356x^48+500x^51+1168x^54+3770x^57+6778x^60+4846x^63+826x^66+602x^69+312x^72+122x^75+62x^78+20x^81+2x^84

The gray image is a linear code over GF(3) with n=90, k=9 and d=42.
This code was found by Heurico 1.16 in 3.38 seconds.