The generator matrix

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

generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+252x^92+312x^93+432x^94+1494x^95+1584x^96+1800x^97+2892x^98+4934x^99+4302x^100+6402x^101+8438x^102+5994x^103+6336x^104+5984x^105+3168x^106+2250x^107+1086x^108+342x^109+564x^110+170x^111+198x^113+62x^114+24x^116+16x^117+8x^120+2x^123+2x^126

The gray image is a linear code over GF(3) with n=459, k=10 and d=276.
This code was found by Heurico 1.16 in 9.11 seconds.