The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 0 1 1 1 X^2 1 1 2X^2+X 1 1 X^2+2X 1 1 1 1 1 1 1 2X^2+X 2X 1 1 1 X^2+2X 1 1 1 1 1 1 1 1 2X 1 1 1 2X X^2+X 1 X 1 1 1 2X^2 1 1 1 1 1 1 1 2X^2+X 1 X^2+2X 1 1 1 X^2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2X^2 2X^2+2X 2X 1 1 1 1 1 1 X^2+2X X^2 1 1 X^2 X^2+2X 1 0 1 1 2 2X^2 2X^2+2 0 2X^2+1 1 2 1 2X^2+2X+1 2X^2+X+1 2X^2+2 1 2X^2 X+2 1 2X^2 2X+2 1 1 2X^2+1 0 2X+1 X+1 2X^2+X+2 2X^2+2X+2 1 1 X 2X^2+2X+1 2X^2+X+2 1 2X^2+2X X+1 X 2X^2+2X 2X^2+X+1 X^2+2X+2 2X^2+X X+2 1 2X X^2+2X+2 2X^2+X+1 1 1 2X 1 X^2+2X+1 2X X^2+2X+2 1 X^2+2 X+1 2X^2+2X 2X^2+X 2X^2+2X+1 2X^2+2 2X+2 1 X+2 1 X^2+X 2X+1 1 1 X^2+X+2 2X+2 2X^2+X 2X^2+1 2X^2+1 2X^2+X+1 X+1 1 2X^2+X+1 X^2+1 2X^2+1 2X^2+X+2 1 2X+1 1 1 1 X+2 2X^2+2X+2 X^2+2X+2 X^2+X+1 2X^2 2X 1 1 0 2X^2+X 1 1 1 0 0 2X X^2 X^2+X 2X^2+X X^2+2X 2X^2+2X X X^2+2X X^2+2X 2X^2 X^2+X 2X^2 X^2+X X^2 X 2X X X^2+2X X^2 2X^2+X 0 2X X^2+X 0 2X^2+2X X 0 X^2+2X X 2X X^2 X^2+X X^2+X 2X^2+2X 2X^2 X^2+2X 2X^2 2X^2+X 2X 0 2X^2 2X^2 2X^2+2X 2X^2+X 2X X X^2 X^2+X 2X^2+X 2X 0 2X 2X^2+2X X^2 X X^2+X 0 0 2X^2+X X^2+2X 2X^2 X X^2+2X X^2 X^2+X 0 X^2+2X X^2 0 2X 2X^2 X^2+2X 2X X^2 2X^2+2X 2X^2+2X X X^2+X X^2 X 2X^2+X 2X^2+X X^2 X^2+2X 2X^2+2X 2X^2 2X^2+X 2X 2X^2+X 2X X^2+2X X^2 X^2 2X^2+X 2X^2+2X 0 generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 191. Homogenous weight enumerator: w(x)=1x^0+570x^191+700x^192+576x^193+1272x^194+600x^195+324x^196+492x^197+232x^198+216x^199+564x^200+356x^201+180x^202+294x^203+114x^204+42x^206+2x^207+8x^210+8x^219+6x^224+2x^225+2x^228 The gray image is a linear code over GF(3) with n=882, k=8 and d=573. This code was found by Heurico 1.16 in 0.644 seconds.