The generator matrix

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

generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+216x^161+148x^162+156x^164+46x^165+72x^167+24x^170+38x^171+4x^174+12x^179+2x^180+6x^182+4x^183

The gray image is a linear code over GF(3) with n=246, k=6 and d=161.
This code was found by Heurico 1.16 in 3.94 seconds.