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

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+434x^177+18x^179+1014x^180+198x^182+1070x^183+810x^184+648x^185+1880x^186+3240x^187+1062x^188+2910x^189+3240x^190+882x^191+686x^192+108x^194+512x^195+388x^198+272x^201+192x^204+86x^207+24x^210+6x^213+2x^261

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 3.45 seconds.