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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+100x^174+194x^177+252x^180+416x^183+4774x^186+376x^189+248x^192+76x^195+26x^198+28x^201+18x^204+10x^207+10x^210+10x^213+8x^216+4x^219+4x^222+4x^228+2x^252

The gray image is a linear code over GF(3) with n=837, k=8 and d=522.
This code was found by Heurico 1.16 in 1.6 seconds.