The generator matrix

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

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+270x^171+36x^172+198x^173+716x^174+648x^175+1008x^176+1786x^177+1908x^178+2934x^179+3034x^180+3294x^181+5022x^182+4546x^183+4878x^184+6750x^185+5142x^186+4572x^187+4518x^188+2520x^189+1854x^190+1422x^191+1040x^192+306x^193+18x^194+352x^195+138x^198+74x^201+14x^204+16x^207+8x^210+10x^213+4x^216+4x^219+2x^222+2x^225+2x^228+2x^240

The gray image is a linear code over GF(3) with n=828, k=10 and d=513.
This code was found by Heurico 1.16 in 18.5 seconds.