The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 179.

Homogenous weight enumerator: w(x)=1x^0+738x^179+862x^180+2280x^181+3198x^182+3088x^183+4134x^184+4956x^185+3826x^186+5124x^187+5268x^188+3778x^189+4290x^190+4320x^191+2814x^192+2838x^193+2646x^194+1460x^195+1530x^196+1050x^197+366x^198+168x^199+132x^200+52x^201+30x^202+30x^203+24x^204+6x^205+12x^206+6x^207+12x^208+4x^210+6x^215

The gray image is a linear code over GF(3) with n=846, k=10 and d=537.
This code was found by Heurico 1.16 in 12 seconds.