The generator matrix

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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+486x^87+90x^88+612x^89+2326x^90+1710x^91+2718x^92+5514x^93+4446x^94+5940x^95+8592x^96+7038x^97+6678x^98+6538x^99+2718x^100+1548x^101+1350x^102+36x^103+474x^105+180x^108+48x^111+6x^114

The gray image is a linear code over GF(3) with n=432, k=10 and d=261.
This code was found by Heurico 1.16 in 6.62 seconds.