The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 1 0 1 1 1 2X 1 1 1 2X^2+X 1 1 1 1 1 1 X^2 X^2+X 1 1 1 X^2+2X 1 1 1 X^2 1 1 1 X 1 1 1 X^2+2X 1 1 1 X^2+X 1 1 1 X 1 1 1 1 0 X^2 1 1 1 1 1 1 1 1 2X X^2+2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2X^2+2X+1 2 X+1 2X^2+X 2X^2+X+2 1 2X 2X^2+1 2X+2 1 0 2X^2+2X+1 2 1 2X X+1 2X^2+X+2 1 2X^2+X 2X^2+1 2X+2 1 X^2 X^2+X X^2+2X+1 X^2+X+1 X^2+2 X^2+2X+2 1 1 X^2+2X X^2+1 X^2+X+2 1 X^2 X^2+2X+1 X^2+2 1 X^2+X X^2+X+1 X^2+X+2 1 X^2+2X X^2+1 X^2+2X+2 1 X^2+X+1 2X^2+X X^2+2 1 X^2+X X+1 2 1 X^2 0 X^2+2X+1 2X^2+2X+1 1 1 X^2+X+2 2X^2+X+2 2X^2+1 X^2+1 2X X^2+2X 2X+2 X^2+2X+2 1 1 2X^2 2X^2 X X 2X^2+2X 2X^2+2X 2X^2 X 2X^2+2X 2X+1 2X+1 2X^2+X+1 2X^2+X+1 1 1 2X+1 2X^2+X+1 1 2X^2+2 2X^2+2 X+2 0 0 2X^2 0 X^2 2X^2 X^2 X^2 X^2 0 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 0 0 0 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 0 2X^2 0 0 X^2 2X^2 X^2 X^2 X^2 2X^2 X^2 2X^2 0 0 0 2X^2 0 2X^2 0 X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 0 2X^2 2X^2 0 2X^2 0 X^2 2X^2 X^2 2X^2 0 X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 0 X^2 2X^2 0 0 2X^2 X^2 0 X^2 2X^2 generates a code of length 93 over Z3[X]/(X^3) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+162x^183+72x^184+108x^185+1602x^186+72x^187+54x^188+18x^189+18x^190+72x^192+4x^198+2x^216+2x^225 The gray image is a linear code over GF(3) with n=837, k=7 and d=549. This code was found by Heurico 1.16 in 0.371 seconds.