The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 X 1 1 0 1 X 1 1 1 X 1 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 2X 1 2X 1 1 1 0 1 0 1 1 0 1 X 1 2X 1 1 1 2X 1 X 1 1 1 X 2X 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 2 1 1 2X+1 X+2 0 2X 1 X+1 X+2 2X+1 0 2X 1 2X+1 1 2X+2 X+1 2X 2X X+2 0 2 0 X X+2 1 1 1 1 1 2X+1 2X+2 0 1 2X 1 2 X 1 2X+2 1 2X 1 2X 0 X 1 X+1 2X 1 X+1 2X 1 0 X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X X 2X 2X 2X 2X 2 X+2 2X+1 X+2 1 1 X+1 X+2 2 X+1 2 1 2X+2 X+2 X+2 2X+1 1 2X+1 1 2 2X+2 2 2X+1 2X+1 X+1 2X+2 2X+2 X+2 X+2 X+1 X+1 X+2 1 1 X+2 2X+2 1 X+1 2 1 2X+2 2X 1 X+1 X 0 2X+2 1 X 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X+2 2X 1 X+2 X 1 0 X+1 2 2X X+1 X+1 2 X+1 2X+1 X 1 X+1 X+2 2 1 2X 0 2X+1 1 2 2 0 2X+2 2X+1 0 2X 2X 1 2X 2X+2 X+2 X+1 0 X+1 1 2X 1 2X X 2X+1 2 2X 2 X+2 1 X X+2 X+2 X+2 X+1 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 2X 0 2X+1 2X+1 2 2X+1 2 0 2X X X+1 2 2X+1 2X+2 0 X+1 2X+1 X+2 2 1 2X+1 0 X+1 2 0 X+1 X+2 X X 1 2 2 X 2X+1 2 2X X+1 2X+1 2X+1 1 2X 2X+1 2X+2 X X+2 X 2 0 X X X+2 X+2 2 1 X X generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 130. Homogenous weight enumerator: w(x)=1x^0+216x^130+288x^131+604x^132+984x^133+1032x^134+1268x^135+1590x^136+1446x^137+1906x^138+2346x^139+2010x^140+2638x^141+2778x^142+2364x^143+2864x^144+3318x^145+2928x^146+2894x^147+3582x^148+2610x^149+2978x^150+2910x^151+2262x^152+2294x^153+2232x^154+1506x^155+1396x^156+1278x^157+714x^158+582x^159+492x^160+246x^161+202x^162+132x^163+78x^164+50x^165+12x^166+12x^167+2x^168+4x^171 The gray image is a linear code over GF(3) with n=219, k=10 and d=130. This code was found by Heurico 1.16 in 58.4 seconds.