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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+242x^171+78x^172+12x^173+342x^174+222x^175+108x^176+440x^177+678x^178+222x^179+566x^180+3108x^181+306x^182+426x^183+6060x^184+348x^185+412x^186+3978x^187+318x^188+440x^189+180x^190+114x^191+302x^192+90x^193+30x^194+196x^195+132x^196+152x^198+36x^199+52x^201+26x^204+18x^205+20x^207+4x^210+6x^213+10x^216+6x^219+2x^246

The gray image is a linear code over GF(3) with n=828, k=9 and d=513.
This code was found by Heurico 1.16 in 13.7 seconds.