The generator matrix

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

generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+40x^45+186x^48+30x^49+120x^50+506x^51+180x^52+216x^53+1064x^54+540x^55+846x^56+2074x^57+1110x^58+1128x^59+2826x^60+1386x^61+1188x^62+2558x^63+864x^64+720x^65+1204x^66+264x^67+156x^68+270x^69+142x^72+46x^75+16x^78+2x^81

The gray image is a linear code over GF(3) with n=90, k=9 and d=45.
This code was found by Heurico 1.16 in 2.18 seconds.