The generator matrix 1 0 1 1 1 1 1 1 2X^2 1 0 1 2X^2 1 2X^2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X^2+2X 1 1 1 2X^2+X 1 1 X 1 2X 1 X^2+2X 1 1 1 2X 1 1 2X^2+X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 2X^2+2X 1 1 1 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 X^2 2X 1 1 1 1 1 1 1 1 0 1 1 2 2X^2 2X^2+2 2X^2+1 0 1 2 1 2X^2+2X+1 1 X+1 1 1 2X^2 2X^2+X+2 2X+2 2X^2 2X+1 0 X^2+X+1 X+2 2X^2+X+2 2X+2 2X^2+2X+2 2 2X^2+2X 2X^2+2X+1 1 X+1 X^2+X 2X^2+X 1 1 X^2+X X^2+X+1 1 2X 2X+1 1 2X^2+X 1 1 1 2X X+2 2X^2+X+2 1 X^2+X+1 X^2+X 1 X^2+2X 2X^2+X X^2+1 2X^2+2 X+2 2X^2+2X+2 2X^2+2 X^2+1 X+2 2 1 X^2+2X X^2+2X+1 X^2+X+2 X^2+2X+2 1 X^2+2 2X X^2+2X+2 2X^2+2 2X^2+2X+2 2X^2+2X+2 X X^2+X 1 X+1 2X^2+2X+2 1 X^2+2X+1 2X^2+X+2 2X^2+X+1 1 1 X+1 X^2+X+2 2X^2+1 X+2 0 2X+2 2X^2+X+2 2X^2 0 0 2X X^2 X^2+X 2X^2+X 2X^2+2X X^2+2X X X^2+2X X^2+2X 2X^2 X^2 X X^2+X 2X^2+2X 2X^2 0 2X^2+2X X X^2 2X 2X^2+X 2X^2+X 2X^2+2X X^2 X^2+X 0 X^2+X 2X X 2X^2+2X 2X X^2 2X^2 0 X 0 2X^2 X^2 X 2X^2+2X X^2+2X X^2+2X 2X^2+X X^2+X 2X X^2+2X X^2+X X 2X^2 2X^2+X X^2+X X^2+2X X^2+X X^2 X^2+2X X^2 0 2X X^2+X 2X^2 X 0 2X^2+X X^2+X 2X^2+2X X X^2 2X^2 2X^2+2X 2X^2+2X X^2+X X^2+2X 2X^2 0 X^2 2X 2X 2X^2+X 2X 2X^2+2X X X^2 2X 2X^2+X X^2+X X X^2+2X 2X 2X^2 2X^2 2X^2 2X^2+2X generates a code of length 94 over Z3[X]/(X^3) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+650x^183+678x^184+720x^185+748x^186+528x^187+744x^188+552x^189+294x^190+240x^191+374x^192+300x^193+240x^194+288x^195+144x^196+36x^198+6x^204+12x^207+2x^216+2x^219+2x^222 The gray image is a linear code over GF(3) with n=846, k=8 and d=549. This code was found by Heurico 1.16 in 0.811 seconds.