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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+168x^177+198x^178+246x^179+560x^180+468x^181+510x^182+676x^183+840x^184+912x^185+2166x^186+2184x^187+1698x^188+3422x^189+1680x^190+954x^191+876x^192+564x^193+228x^194+246x^195+144x^196+108x^197+130x^198+84x^199+114x^200+96x^201+72x^202+66x^203+72x^204+48x^205+18x^206+78x^207+36x^208+6x^209+12x^210+2x^255

The gray image is a linear code over GF(3) with n=846, k=9 and d=531.
This code was found by Heurico 1.16 in 3.18 seconds.