The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+162x^88+282x^89+398x^90+864x^91+336x^92+512x^93+1296x^94+516x^95+630x^96+972x^97+258x^98+130x^99+108x^100+42x^101+26x^102+24x^104+2x^111+2x^117

The gray image is a linear code over GF(3) with n=423, k=8 and d=264.
This code was found by Heurico 1.16 in 0.113 seconds.