The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 0 1 1 X 1 1 X 1 2X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 0 2X+1 2 1 X+2 X 2X+1 1 0 X+1 X 2 1 2X+1 X+2 1 X X+2 1 X+1 1 X X+2 2X 2X+2 1 2X+1 X+1 X+1 2X+1 X+1 1 0 0 X X X+2 2 2 X+2 2X+2 2X X+1 0 2X+1 X+2 X 0 1 2X+1 2X X+1 2 X+2 2X+2 2X 1 2 2X+2 X X+1 2X 2X 1 1 2 X+2 2X+2 2X+2 2X 2X 2X 0 X 2X+2 2X+2 2X+2 2X+1 X+1 1 1 1 0 0 0 2X 0 X 2X X 0 2X X 0 2X 2X X 0 X 0 X 2X X X 0 2X 2X 2X X 2X 0 0 X 0 0 2X X 2X X 0 2X 0 2X 0 X 2X X X 0 X 2X 2X 0 X 2X X 0 0 X 0 X 2X 2X 2X X 0 X X 2X 0 0 2X 2X X X 0 2X 0 0 2X 0 2X X 2X 0 X X X 0 2X 2X X 0 0 0 0 0 X X 2X 2X X 0 0 2X 0 2X 0 2X 0 X 2X X X X 0 X X 2X 0 2X X 2X 2X 0 2X 0 2X X X 2X 0 0 X 2X 2X 0 X 2X 0 0 0 X X 0 X X X 0 0 X 2X 2X 2X 2X X 2X X 0 0 X 2X 0 X 2X 2X 2X X 2X 0 2X 0 0 0 2X X 2X X 0 X X 2X X 0 0 generates a code of length 91 over Z3[X]/(X^2) who´s minimum homogenous weight is 179. Homogenous weight enumerator: w(x)=1x^0+108x^179+78x^180+324x^182+156x^183+54x^188+2x^189+4x^192+2x^246 The gray image is a linear code over GF(3) with n=273, k=6 and d=179. This code was found by Heurico 1.16 in 0.145 seconds.