The generator matrix

 1  0  0  1  1  1  1  1  X 2X  1  1  1  0  1  1  1  0 2X  1  X  1  0  1  1  1  1  1  1  1
 0  1  0  0  0 2X+1  1 2X+1  1  1  2 2X+2  2  1 X+1  2 X+1 2X  1 2X+1  1  2  1  X  X 2X  2 2X+2  X  0
 0  0  1  1  2 2X+2  1 2X 2X+2 2X+1  0 2X+1  2  0 X+1 2X+2  X  1  2  X  1  X  X  2  0  0 X+1 X+1 2X+2  X
 0  0  0 2X  0 2X  X  X  0 2X  X 2X  0 2X  0  0 2X  0  0  X  X  X  X 2X  X  0  X  0 2X  0
 0  0  0  0  X 2X 2X  X  0  X  X 2X 2X  0  0  X  X  X  X  0  0 2X  X  X 2X  0  0  X  0 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+120x^51+84x^52+156x^53+572x^54+252x^55+294x^56+668x^57+342x^58+378x^59+880x^60+336x^61+240x^62+830x^63+288x^64+318x^65+400x^66+144x^67+72x^68+150x^69+12x^70+10x^72+12x^75+2x^78

The gray image is a linear code over GF(3) with n=90, k=8 and d=51.
This code was found by Heurico 1.16 in 0.252 seconds.