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

generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+104x^162+72x^163+84x^164+160x^165+48x^166+48x^167+82x^168+30x^169+30x^170+32x^171+6x^172+2x^174+2x^177+8x^180+6x^181+12x^183+2x^198

The gray image is a linear code over GF(3) with n=249, k=6 and d=162.
This code was found by Heurico 1.16 in 0.0804 seconds.