The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 2X 1 1 1 0 X 1 1 1 1 1 1 X 1 X 2X 1 1 1 1 1 1 0 1 1 1 2X 1 0 X 0 1 1 1 2X 1 1 1 1 1 1 1 1 0 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+2 X+1 2 X+2 X+2 X+1 0 2 1 X+1 2X+2 1 2X+1 2X 2X 1 1 2 0 X+2 1 X 2X 1 2X+1 1 1 X+1 2X+1 2X+1 X+1 X+1 2X+2 1 1 X+1 X+2 1 X+2 1 1 1 2 1 2 1 X+2 X+1 0 X+2 1 0 X+1 2X+2 1 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X X 2X X 2X X 0 X 2X X 0 2X X 0 2X 0 0 X 0 X 2X 0 0 2X X 2X 2X 0 X 2X 0 0 0 2X X 2X 2X 2X X X 0 X X 0 2X 2X 2X X X 0 0 X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 2X 0 0 X 0 2X X 0 0 X 0 X X 2X 2X 0 X X 2X 0 0 2X 2X 0 X X 2X 2X 0 2X X 0 2X 0 2X X X X X 2X X X 0 2X 0 0 2X X X X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X 2X X 2X 0 2X 2X 0 2X 0 X 0 2X 2X 0 X 2X 2X 2X X 0 0 0 X X 0 X X 0 0 X 0 2X X X 2X X 2X 0 X 0 2X X X 2X 2X 2X X X 2X 0 2X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+286x^138+488x^141+462x^144+188x^147+316x^150+194x^153+150x^156+74x^159+16x^162+6x^165+4x^168+2x^180 The gray image is a linear code over GF(3) with n=219, k=7 and d=138. This code was found by Heurico 1.16 in 0.137 seconds.