The generator matrix

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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 171.

Homogenous weight enumerator: w(x)=1x^0+48x^171+18x^172+60x^173+286x^174+144x^175+486x^176+1122x^177+972x^178+1236x^179+2862x^180+1836x^181+2292x^182+6034x^183+3276x^184+3450x^185+8372x^186+4050x^187+3960x^188+7396x^189+3132x^190+2112x^191+2974x^192+954x^193+858x^194+442x^195+162x^196+90x^197+186x^198+36x^199+18x^200+46x^201+12x^203+56x^204+6x^206+18x^207+16x^210+8x^213+6x^216+4x^219+6x^222+2x^225+2x^231+2x^234

The gray image is a linear code over GF(3) with n=837, k=10 and d=513.
This code was found by Heurico 1.16 in 15.2 seconds.