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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 164.

Homogenous weight enumerator: w(x)=1x^0+42x^164+168x^165+90x^166+84x^167+138x^168+36x^169+12x^170+40x^171+36x^172+12x^173+28x^174+18x^177+6x^179+4x^180+6x^185+6x^186+2x^201

The gray image is a linear code over GF(3) with n=252, k=6 and d=164.
This code was found by Heurico 1.13 in 0.109 seconds.