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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+210x^42+316x^45+400x^48+686x^51+784x^54+4374x^56+886x^57+8748x^59+1092x^60+882x^63+594x^66+426x^69+200x^72+62x^75+16x^78+4x^81+2x^84

The gray image is a linear code over GF(3) with n=87, k=9 and d=42.
This code was found by Heurico 1.16 in 71.6 seconds.