The generator matrix

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

generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+244x^48+270x^49+432x^50+780x^51+678x^52+876x^53+1354x^54+1110x^55+1278x^56+1768x^57+1524x^58+1428x^59+1922x^60+1428x^61+1320x^62+1494x^63+618x^64+432x^65+416x^66+204x^67+66x^68+30x^69+4x^72+2x^75+4x^78

The gray image is a linear code over GF(3) with n=87, k=9 and d=48.
This code was found by Heurico 1.16 in 2.55 seconds.