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

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+536x^177+828x^178+672x^179+776x^180+810x^181+342x^182+532x^183+378x^184+216x^185+372x^186+432x^187+228x^188+254x^189+138x^190+18x^192+4x^195+6x^198+6x^199+6x^204+4x^207+2x^210

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 4.29 seconds.