The generator matrix

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

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+294x^177+888x^178+1296x^179+566x^180+984x^181+340x^183+306x^184+402x^186+660x^187+648x^188+86x^189+78x^190+2x^192+4x^195+2x^198+2x^204+2x^225

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 0.521 seconds.