The generator matrix

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

generates a code of length 90 over Z3[X]/(X^3) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+498x^175+918x^176+712x^177+762x^178+576x^179+508x^180+510x^181+360x^182+252x^183+402x^184+360x^185+212x^186+246x^187+216x^188+2x^189+6x^190+8x^195+6x^199+4x^204+2x^207

The gray image is a linear code over GF(3) with n=810, k=8 and d=525.
This code was found by Heurico 1.16 in 0.473 seconds.