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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+92x^177+114x^179+264x^180+156x^182+228x^183+1944x^184+206x^186+2916x^187+24x^188+116x^189+84x^191+78x^192+96x^195+24x^197+54x^198+84x^200+54x^201+18x^204+6x^207+2x^276

The gray image is a linear code over GF(3) with n=837, k=8 and d=531.
This code was found by Heurico 1.16 in 0.85 seconds.