The generator matrix

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

generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+56x^162+186x^165+306x^168+484x^171+606x^174+922x^177+1530x^180+2128x^183+2886x^186+3432x^189+2638x^192+1778x^195+1082x^198+544x^201+352x^204+260x^207+216x^210+112x^213+76x^216+48x^219+14x^222+16x^225+6x^228+2x^231+2x^234

The gray image is a linear code over GF(3) with n=282, k=9 and d=162.
This code was found by Heurico 1.16 in 19 seconds.