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  X  1  1  0  1 2X  1  1 2X  1 2X  1  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  1  2 X+2 2X  2  1 X+1  1  1  1  1 X+2  2  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  0  1  1  1  0 2X+2  1  1  1 2X 2X+2  X  2  X
 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  X 2X  0 2X  0 2X  0 2X  X  X  X 2X  0  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+294x^161+210x^162+348x^164+162x^165+300x^167+146x^168+174x^170+44x^171+102x^173+62x^174+84x^176+40x^177+36x^179+16x^180+72x^182+22x^183+48x^185+12x^186+8x^189+6x^192

The gray image is a linear code over GF(3) with n=252, k=7 and d=161.
This code was found by Heurico 1.13 in 335 seconds.