The generator matrix

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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+252x^91+402x^92+1018x^93+804x^94+462x^95+1008x^96+558x^97+318x^98+934x^99+432x^100+264x^101+18x^102+36x^103+6x^104+6x^107+14x^108+18x^109+2x^111+6x^112+2x^117

The gray image is a linear code over GF(3) with n=432, k=8 and d=273.
This code was found by Heurico 1.16 in 0.112 seconds.