The generator matrix

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

generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+366x^94+678x^95+1818x^96+2796x^97+3768x^98+5626x^99+5400x^100+4428x^101+7542x^102+6846x^103+5010x^104+6048x^105+3720x^106+2328x^107+1470x^108+714x^109+288x^110+72x^111+42x^112+18x^113+18x^114+36x^115+6x^116+4x^117+6x^118

The gray image is a linear code over GF(3) with n=459, k=10 and d=282.
This code was found by Heurico 1.16 in 5.6 seconds.