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

generates a code of length 53 over Z3[X]/(X^3) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+486x^95+1206x^96+3078x^97+5688x^98+11532x^99+13440x^100+19260x^101+29608x^102+36210x^103+45930x^104+55486x^105+62538x^106+61044x^107+58968x^108+47892x^109+33678x^110+24260x^111+11040x^112+5586x^113+3242x^114+714x^115+246x^116+86x^117+30x^118+108x^119+42x^120+18x^121+18x^122+6x^123

The gray image is a linear code over GF(3) with n=477, k=12 and d=285.
This code was found by Heurico 1.16 in 410 seconds.