The generator matrix 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 3X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 3 5X+2 6 5X+4 5 0 5X+1 3 5X+2 6 5X+4 5 1 5 5X+2 5X+1 6 X+5 1 5X+4 1 3X+5 3 0 X 1 1 X+3 X+5 4X+2 2X+5 3X 4X+5 4X+4 5 5X+1 4X+2 X+6 3X+3 3X+2 2X+3 0 0 0 5X 0 5X X 5X X 6X 2X X 6X 0 0 6X 2X 3X 4X 3X 2X 4X X X 4X X 2X 2X 3X 6X X 0 5X 4X 4X 2X 4X 3X 2X 2X 3X 3X 4X 2X 5X 0 0 0 0 X 4X 4X 3X 6X 0 6X X 6X 5X 4X 3X 3X 6X 3X 5X 5X 5X 3X 0 4X 5X 4X 5X 6X 4X 5X 2X 2X 6X 2X 6X 0 X 2X 4X 3X X 2X X 6X X generates a code of length 45 over Z7[X]/(X^2) who´s minimum homogenous weight is 245. Homogenous weight enumerator: w(x)=1x^0+36x^245+84x^248+336x^251+408x^252+462x^253+2856x^255+1932x^258+498x^259+3906x^260+8568x^262+2772x^265+396x^266+15498x^267+23352x^269+5838x^272+330x^273+23352x^274+22764x^276+3528x^279+222x^280+204x^287+162x^294+72x^301+66x^308+6x^315 The gray image is a linear code over GF(7) with n=315, k=6 and d=245. This code was found by Heurico 1.16 in 3.69 seconds.