The generator matrix

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

generates a code of length 91 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+684x^177+648x^178+684x^179+1020x^180+504x^181+342x^182+594x^183+360x^184+180x^185+468x^186+360x^187+252x^188+336x^189+72x^190+30x^192+10x^198+6x^201+10x^207

The gray image is a linear code over GF(3) with n=819, k=8 and d=531.
This code was found by Heurico 1.16 in 15.6 seconds.