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 2X^2+2X 1 X^2+X 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 X^2+2X+2 2X^2+2X 2X+2 1 0 1 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 0 2X^2+X X 0 2X^2+2X 2X^2 X 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+604x^183+738x^184+660x^185+904x^186+504x^187+540x^188+560x^189+450x^190+180x^191+446x^192+264x^193+240x^194+264x^195+144x^196+38x^198+6x^202+12x^210+4x^216+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 0.641 seconds.