The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 1 0 1 1 1 2X^2+X 1 1 1 2X 1 1 1 X^2+X 1 1 1 X^2+2X 1 1 0 1 1 1 1 X^2 1 1 1 1 0 1 1 X^2 1 1 1 1 1 1 2X^2+X 2X 1 1 1 1 1 1 1 1 1 1 1 1 2X^2+X 2X X^2+X X^2+2X 1 1 1 X^2 1 1 1 X^2+X 1 1 1 X^2+2X 1 1 1 X 1 1 1 1 X^2+2X 1 1 2X^2 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X 2X+2 1 2X^2+1 2X 2 2X^2+1 1 0 2X^2+2X+1 2X+2 1 X+1 2X^2+X 2X^2+X+2 1 X^2 X^2+2X+1 X^2+X+2 1 X^2+X X^2+X+1 X^2+2X+2 1 2X 2 1 2X^2+1 X^2+1 X^2+2X X^2+2 1 2X^2+1 X^2+1 2X 2 1 X^2+2X X^2+2 1 0 2X^2+X 2X^2+2X+1 X+1 2X^2+X+2 2X+2 1 1 2X^2+X+2 2X+2 X^2+X+2 X^2+2X+2 0 2X^2+X X^2 X^2+X 2X^2+2X+1 X+1 X^2+2X+1 X^2+X+1 1 1 1 1 X^2 X^2+2X+1 X^2+2 1 X X^2+X+1 X^2+X+2 1 X^2+2X X^2+1 X^2+2X+2 1 X^2+2X+1 X^2+X 2X^2+2 1 2X^2 X^2+X+1 X+2 X^2+2X 1 1 X^2+2X+2 1 X^2 2X+1 0 0 2X^2 0 2X^2 X^2 X^2 0 0 0 X^2 2X^2 2X^2 X^2 X^2 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 0 2X^2 X^2 0 2X^2 X^2 0 X^2 0 0 0 2X^2 2X^2 0 0 0 X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 0 X^2 X^2 0 0 X^2 0 X^2 2X^2 0 2X^2 0 X^2 2X^2 X^2 2X^2 X^2 0 X^2 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 2X^2 0 2X^2 2X^2 X^2 0 0 0 0 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 0 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 0 2X^2 X^2 2X^2 2X^2 0 0 0 X^2 X^2 0 2X^2 X^2 X^2 0 2X^2 0 2X^2 X^2 2X^2 X^2 X^2 0 2X^2 0 2X^2 0 2X^2 0 2X^2 2X^2 X^2 0 0 X^2 2X^2 0 0 X^2 X^2 2X^2 0 X^2 0 2X^2 X^2 X^2 X^2 2X^2 2X^2 X^2 0 X^2 X^2 0 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 2X^2 2X^2 2X^2 generates a code of length 98 over Z3[X]/(X^3) who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+1832x^192+648x^193+108x^194+1472x^195+324x^196+216x^197+1440x^201+324x^202+180x^204+8x^216+4x^219+4x^222 The gray image is a linear code over GF(3) with n=882, k=8 and d=576. This code was found by Heurico 1.16 in 0.625 seconds.