The generator matrix

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

generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+306x^91+1008x^92+3028x^93+6264x^94+9108x^95+12698x^96+21786x^97+27438x^98+36308x^99+49128x^100+54240x^101+57750x^102+71160x^103+57060x^104+47326x^105+35934x^106+20724x^107+10506x^108+6198x^109+2370x^110+674x^111+174x^112+72x^113+78x^114+42x^115+24x^116+30x^117+6x^118

The gray image is a linear code over GF(3) with n=459, k=12 and d=273.
This code was found by Heurico 1.16 in 391 seconds.