The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 X 1 1 1 2X 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 0 0 1 X 1 2X X X 1 1 X 1 1 1 1 1 1 0 X 1 X 1 1 1 1 1 1 2X 1 0 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 X 1 2X+1 2 1 2 0 2X 1 X+2 2X+1 X+2 2X+1 2X+1 X+1 2 X+2 1 0 2X+1 X+1 0 2X X+1 1 X+2 1 1 1 1 X 1 1 1 X+1 X+2 1 X+1 2X 2 2X 0 2X 1 1 2X 1 2X 2X X+2 0 X+2 2X+2 1 0 1 2X+1 X+1 X+1 2X+2 X+2 0 0 2X 0 0 2X 0 2X 0 X X 0 0 2X 2X X 2X 2X 0 X 2X X 0 0 2X 2X X X X X X 2X 0 0 X 2X X 2X 0 2X 0 X 0 X X X 0 2X 2X X X 0 0 2X X X 2X 2X 0 X 0 0 0 X 0 X 2X 0 X 0 0 0 X 0 2X 2X X 0 2X 0 2X 0 2X X 2X X 2X 2X X X 2X 0 X 0 0 X 2X 2X X 0 2X X X X 0 0 0 X 2X X 0 0 2X X X X X 0 2X 0 0 2X X 0 X 0 2X 2X X 0 2X 2X X X 0 0 2X X 0 0 0 0 X X 2X X 2X X 0 0 X 0 2X X 2X 2X X 0 X 2X X X 2X 0 2X 0 X X X 0 0 2X 0 X 2X 2X 0 X 2X X 2X X X 0 X X 0 2X 0 2X 2X 0 2X 0 2X X X X 0 0 2X 2X 0 X X X 2X generates a code of length 69 over Z3[X]/(X^2) who´s minimum homogenous weight is 130. Homogenous weight enumerator: w(x)=1x^0+234x^130+246x^132+222x^133+160x^135+282x^136+270x^139+168x^141+144x^142+70x^144+162x^145+108x^148+62x^150+30x^151+10x^153+6x^154+8x^159+2x^162+2x^168 The gray image is a linear code over GF(3) with n=207, k=7 and d=130. This code was found by Heurico 1.16 in 44 seconds.