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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+454x^177+72x^178+216x^179+518x^180+216x^181+864x^182+416x^183+810x^184+1512x^185+236x^186+360x^187+324x^188+200x^189+114x^192+102x^195+98x^198+28x^201+18x^204+2x^252

The gray image is a linear code over GF(3) with n=828, k=8 and d=531.
This code was found by Heurico 1.16 in 8.01 seconds.