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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+96x^175+160x^177+456x^178+54x^179+240x^180+1164x^181+324x^182+1548x^184+648x^185+126x^186+816x^187+432x^188+92x^189+90x^190+48x^193+36x^195+60x^196+72x^198+78x^199+18x^202+2x^258

The gray image is a linear code over GF(3) with n=828, k=8 and d=525.
This code was found by Heurico 1.16 in 0.825 seconds.