The generator matrix

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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+90x^174+108x^175+378x^176+1080x^177+612x^178+828x^179+1678x^180+1278x^181+894x^182+2012x^183+1566x^184+996x^185+2538x^186+1764x^187+642x^188+1684x^189+450x^190+426x^191+300x^192+54x^193+120x^194+30x^195+78x^197+44x^198+12x^200+6x^201+2x^204+4x^210+2x^213+2x^216+2x^222+2x^225

The gray image is a linear code over GF(3) with n=828, k=9 and d=522.
This code was found by Heurico 1.16 in 1.95 seconds.