The generator matrix

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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+12x^183+198x^184+6x^186+18x^187+2x^189+2x^195+2x^204+2x^213

The gray image is a linear code over GF(3) with n=828, k=5 and d=549.
This code was found by Heurico 1.16 in 0.334 seconds.