The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+468x^91+408x^92+10x^93+522x^94+198x^95+8x^96+360x^97+144x^98+2x^99+54x^100+6x^101+4x^105+2x^111

The gray image is a linear code over GF(3) with n=423, k=7 and d=273.
This code was found by Heurico 1.16 in 0.0442 seconds.