The generator matrix

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

generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+66x^187+180x^188+28x^189+276x^190+522x^191+226x^192+474x^193+432x^194+696x^195+798x^196+648x^197+690x^198+600x^199+432x^200+20x^201+120x^202+22x^204+36x^205+90x^206+10x^207+24x^208+126x^209+6x^210+36x^211+2x^267

The gray image is a linear code over GF(3) with n=882, k=8 and d=561.
This code was found by Heurico 1.16 in 8.44 seconds.