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

generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+564x^93+378x^94+468x^95+2568x^96+2304x^97+2484x^98+4974x^99+4716x^100+5652x^101+7542x^102+7722x^103+6174x^104+6060x^105+3528x^106+1188x^107+1586x^108+306x^109+72x^110+522x^111+174x^114+54x^117+12x^120

The gray image is a linear code over GF(3) with n=459, k=10 and d=279.
This code was found by Heurico 1.16 in 22.5 seconds.