The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+964x^90+630x^91+540x^92+1110x^93+738x^94+216x^95+1080x^96+522x^97+216x^98+432x^99+54x^100+36x^105+14x^108+6x^111+2x^117

The gray image is a linear code over GF(3) with n=423, k=8 and d=270.
This code was found by Heurico 1.16 in 81.1 seconds.