The generator matrix

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

generates a code of length 99 over Z3[X]/(X^3) who´s minimum homogenous weight is 186.

Homogenous weight enumerator: w(x)=1x^0+90x^186+396x^187+306x^188+610x^189+1986x^190+1746x^191+1652x^192+4272x^193+3240x^194+2264x^195+6030x^196+4644x^197+3004x^198+6492x^199+5076x^200+2850x^201+5718x^202+3024x^203+1346x^204+1968x^205+828x^206+322x^207+468x^208+90x^209+116x^210+198x^211+64x^213+84x^214+28x^216+54x^217+24x^219+18x^220+14x^222+2x^225+18x^226+2x^228+2x^231+2x^234

The gray image is a linear code over GF(3) with n=891, k=10 and d=558.
This code was found by Heurico 1.16 in 17.1 seconds.