The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  0  1  0  1  1  1  X  1  1  1 2X  1  X  1
 0  1  1  2  0  1  2  1 2X+1  1  0  2 X+2 2X+1  0  1  X  1  2  2  0  1 X+2 X+1  X  1 2X+1  1  2
 0  0 2X  0  0  0  0  0  0  0 2X  X  X 2X 2X  0 2X  X  X 2X  X 2X  X  X  X  0  X 2X  0
 0  0  0  X  0  0  0  X 2X  X  0 2X  X 2X  0 2X  0  X  0 2X  X  0 2X 2X 2X  X  X 2X  0
 0  0  0  0  X  0  X  X  X  X  X 2X  0  X  0  X 2X 2X  0  0 2X 2X 2X  X  0  0  0  0 2X
 0  0  0  0  0 2X 2X  0 2X  X  0 2X  X  X 2X  X 2X  0  X  X 2X  X  X 2X  X 2X 2X  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+158x^48+24x^49+90x^50+316x^51+132x^52+144x^53+586x^54+312x^55+414x^56+856x^57+462x^58+396x^59+962x^60+408x^61+342x^62+478x^63+120x^64+72x^65+202x^66+50x^69+22x^72+8x^75+4x^78+2x^81

The gray image is a linear code over GF(3) with n=87, k=8 and d=48.
This code was found by Heurico 1.16 in 0.86 seconds.