The generator matrix

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

generates a code of length 92 over Z3[X]/(X^3) who´s minimum homogenous weight is 172.

Homogenous weight enumerator: w(x)=1x^0+246x^172+438x^173+1780x^174+2772x^175+3696x^176+5870x^177+7146x^178+7380x^179+10816x^180+12072x^181+11778x^182+16364x^183+14826x^184+13782x^185+15952x^186+12780x^187+10062x^188+9764x^189+7608x^190+4458x^191+3532x^192+1932x^193+744x^194+624x^195+246x^196+90x^197+86x^198+72x^199+48x^200+68x^201+48x^202+12x^203+18x^204+6x^205+6x^207+18x^208+6x^211

The gray image is a linear code over GF(3) with n=828, k=11 and d=516.
This code was found by Heurico 1.16 in 100 seconds.