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  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  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  X  X  X  X  X  0  1  1
 0  X  0  0  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  0  X 2X  0  X 2X 2X 2X 2X  0  0  0  X  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  0  X 2X  0  X 2X 2X 2X 2X  0  0  0  X  X  0  X  X 2X  0  0  X  X  0 2X  X  X 2X 2X  0  X  0  X 2X 2X 2X 2X 2X  0  0  0  X  0  X  X 2X  X  0  X
 0  0  X  0 2X  X 2X  X 2X  0  X  X  0 2X  0  0  X  X 2X 2X 2X 2X  X  0  0  X 2X  0  0  X 2X  X  X 2X  0 2X  0  X  X  0 2X  0  0  X  X 2X 2X 2X 2X  X  0  0  X 2X  0  0  X 2X  X  X 2X  0 2X  0  X  X  0 2X  0  X  0  X  X 2X 2X 2X  X  0 2X  0  X 2X  0  X  0 2X  X 2X  0 2X  0  X 2X
 0  0  0  X 2X 2X  0 2X 2X 2X  X  0 2X  0 2X  X  X  0  X  X  X 2X  X  0  X 2X  0  0  X 2X 2X 2X  X  X  X 2X 2X  0  0  0  X  X 2X 2X  X  0  0  0 2X  X  0 2X  0  X  0  X 2X 2X 2X  X  X  X 2X 2X  0  0  0  X  X  X 2X 2X  X  0  0 2X  X  0  0 2X  0  X  X 2X  0  X  0 2X 2X  0  0  X  0

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 183.

Homogenous weight enumerator: w(x)=1x^0+126x^183+36x^186+20x^189+54x^192+4x^198+2x^252

The gray image is a linear code over GF(3) with n=279, k=5 and d=183.
This code was found by Heurico 1.16 in 0.197 seconds.