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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+86x^171+110x^174+238x^177+354x^180+412x^183+4374x^184+516x^186+228x^189+100x^192+24x^195+28x^198+10x^201+22x^204+22x^207+14x^210+8x^213+6x^216+2x^219+2x^222+2x^225+2x^252

The gray image is a linear code over GF(3) with n=828, k=8 and d=513.
This code was found by Heurico 1.16 in 0.891 seconds.