The generator matrix

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

generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+102x^182+26x^183+144x^184+96x^185+32x^186+144x^187+54x^188+6x^189+36x^190+60x^191+6x^192+12x^194+2x^198+2x^201+4x^204+2x^228

The gray image is a linear code over GF(3) with n=279, k=6 and d=182.
This code was found by Heurico 1.16 in 1.24 seconds.