The generator matrix

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

generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 177.

Homogenous weight enumerator: w(x)=1x^0+690x^177+816x^178+2034x^179+3712x^180+3054x^181+3888x^182+5040x^183+3906x^184+4956x^185+5486x^186+3444x^187+3708x^188+5204x^189+3042x^190+2784x^191+2792x^192+1368x^193+1392x^194+830x^195+366x^196+156x^197+234x^198+12x^199+24x^200+40x^201+12x^202+6x^203+20x^204+6x^206+6x^207+12x^208+6x^211+2x^216

The gray image is a linear code over GF(3) with n=837, k=10 and d=531.
This code was found by Heurico 1.16 in 11.3 seconds.