The generator matrix

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

generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 161.

Homogenous weight enumerator: w(x)=1x^0+312x^161+174x^162+402x^164+214x^165+216x^167+102x^168+138x^170+96x^171+126x^173+58x^174+102x^176+18x^177+60x^179+24x^180+60x^182+24x^183+24x^185+6x^186+12x^188+2x^189+6x^191+8x^192+2x^201

The gray image is a linear code over GF(3) with n=252, k=7 and d=161.
This code was found by Heurico 1.16 in 47.7 seconds.