The generator matrix

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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+282x^179+1302x^180+648x^181+756x^182+974x^183+354x^185+374x^186+438x^188+828x^189+324x^190+108x^191+154x^192+6x^194+2x^195+4x^201+2x^204+2x^210+2x^216

The gray image is a linear code over GF(3) with n=828, k=8 and d=537.
This code was found by Heurico 1.16 in 2.42 seconds.