The generator matrix

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

generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+352x^177+456x^178+840x^179+1430x^180+1806x^181+2442x^182+2768x^183+3216x^184+4182x^185+4522x^186+4314x^187+5142x^188+4650x^189+5298x^190+5070x^191+4046x^192+2838x^193+2010x^194+1176x^195+774x^196+564x^197+408x^198+138x^199+72x^200+134x^201+42x^202+36x^203+128x^204+54x^205+42x^206+34x^207+12x^208+12x^209+18x^210+6x^211+14x^213+2x^216

The gray image is a linear code over GF(3) with n=846, k=10 and d=531.
This code was found by Heurico 1.16 in 14.7 seconds.