The generator matrix

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

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+1134x^177+1314x^178+2196x^179+5486x^180+5166x^181+5958x^182+10116x^183+9810x^184+10674x^185+15126x^186+12708x^187+12744x^188+17490x^189+13716x^190+11682x^191+13350x^192+9522x^193+6012x^194+5676x^195+2880x^196+1584x^197+1666x^198+288x^199+180x^200+324x^201+252x^204+62x^207+24x^210+6x^213

The gray image is a linear code over GF(3) with n=846, k=11 and d=531.
This code was found by Heurico 1.16 in 106 seconds.