The generator matrix

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

generates a code of length 47 over Z3[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+166x^84+378x^85+1908x^86+2584x^87+4584x^88+8220x^89+7692x^90+11484x^91+18132x^92+17722x^93+20904x^94+25638x^95+18146x^96+15540x^97+13080x^98+5336x^99+2808x^100+1914x^101+442x^102+138x^103+102x^104+120x^105+54x^106+12x^107+36x^108+6x^110

The gray image is a linear code over GF(3) with n=423, k=11 and d=252.
This code was found by Heurico 1.16 in 44.2 seconds.