The generator matrix

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

generates a code of length 97 over Z3[X]/(X^3) who´s minimum homogenous weight is 182.

Homogenous weight enumerator: w(x)=1x^0+324x^182+682x^183+1956x^184+2484x^185+4618x^186+5808x^187+6102x^188+8864x^189+10872x^190+10830x^191+13830x^192+14370x^193+13536x^194+14720x^195+15126x^196+11532x^197+11676x^198+9474x^199+6438x^200+5606x^201+3714x^202+1740x^203+1278x^204+696x^205+288x^206+102x^207+90x^208+132x^209+36x^210+84x^211+42x^212+60x^213+6x^214+6x^215+6x^216+12x^217+6x^218

The gray image is a linear code over GF(3) with n=873, k=11 and d=546.
This code was found by Heurico 1.16 in 108 seconds.