The generator matrix

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

generates a code of length 96 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+594x^187+810x^188+456x^189+1056x^190+798x^191+294x^192+474x^193+420x^194+132x^195+420x^196+438x^197+162x^198+306x^199+126x^200+2x^201+54x^202+6x^208+2x^210+6x^217+2x^225+2x^228

The gray image is a linear code over GF(3) with n=864, k=8 and d=561.
This code was found by Heurico 1.16 in 27.7 seconds.