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 1 X 1 1 1 X 1 1 1 1 1 0 2X 1 1 1 1 1 2X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2X X 2X 2X 2X X X X X X X X X 0 X 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+1 X+2 1 X X+1 X+2 1 2X 2X+2 0 X+2 X+1 1 1 X+1 X 2X+1 2 1 1 2X 2X+2 1 0 2X X 2X 2X 2X 2X+1 1 X+1 1 1 1 2 2X+2 X+2 2X+2 2X+2 2X+2 1 1 1 1 1 1 0 0 0 X X X 0 2X X X 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 0 X 2X X 2X 0 0 X 0 2X X 0 2X 0 2X 0 X 2X X X 0 2X X X 0 0 X 2X 2X 2X 2X X X 0 0 2X 0 0 X X 2X X 0 0 X 2X 2X 0 X X 2X 0 2X 2X X 0 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 0 2X 2X 0 X 0 X X 0 2X X X 0 X 0 2X X 2X X 0 0 0 2X X 0 X 0 X 0 X 0 2X 0 2X 2X 0 2X X 2X X 2X X 0 X 0 X 0 X X 2X X 2X X X 2X 2X X 0 0 generates a code of length 83 over Z3[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+62x^162+378x^164+124x^165+18x^171+108x^173+36x^174+2x^246 The gray image is a linear code over GF(3) with n=249, k=6 and d=162. This code was found by Heurico 1.16 in 0.107 seconds.