The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X 1 X 1 X 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X X X 2X 2X X X 0 2X 2X 0 0 0 2X X 0 X X X 2X X 2X X 0 0 2X 2X 0 X X 2X X X X 0 0 2X X 0 0 2X X 2X 0 X 2X 0 2X 2X 0 2X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 2X 2X X 0 2X 0 0 0 X 2X 2X X X 2X 2X 2X 0 0 X X 0 X X 0 X 2X 2X 0 0 X 2X 2X 2X 2X 0 X X X 0 X 0 0 X X 0 0 2X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 2X X 2X X 2X 2X 0 2X X X 2X 2X 2X 2X 0 X X X 2X 0 X X 2X X X 2X 0 2X 0 2X X 2X X 2X X 2X 2X 2X X 0 2X 0 2X X X 2X 2X X 0 0 2X X X X 2X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 2X 0 2X 0 X 0 2X 2X 2X X 2X X 0 X 0 2X 0 0 0 X 0 X 2X 0 0 2X X 2X 0 X X 0 X 2X 0 X 0 2X X 0 0 2X 0 X 2X 2X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X 0 2X 2X 2X X 0 0 X 2X 0 X X X 2X X X 2X X 2X 2X 0 X X X 2X 2X X 0 0 2X 2X 0 2X 0 0 0 2X 0 0 2X 2X 2X 0 0 0 0 X 2X 0 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X X 2X X X X 2X X 0 0 2X 0 2X X X X 0 X 0 X X X 0 2X X 2X 0 X 2X X 0 0 0 2X 0 X X X 0 0 2X 2X X X X 0 0 X 2X 0 X 0 0 X 2X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 2X 0 2X X 0 2X X 2X X 2X X X 0 2X X X 2X X 0 0 X 2X 0 2X 2X 2X 0 2X X 0 0 2X 2X 0 0 X X X 2X X 2X X X 2X X 2X X 0 X X 2X 0 2X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 0 X X 2X 0 2X 0 2X 2X X X 2X X X 0 X 0 0 0 2X 2X 2X 0 2X X 0 X 2X X X 0 X 0 X 0 2X X 0 0 2X 0 0 0 0 2X X 0 X 0 2X 2X 2X X X 2X 2X 0 0 0 0 0 generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+42x^105+150x^108+250x^111+316x^114+364x^117+560x^120+714x^123+778x^126+138x^128+1140x^129+624x^131+1180x^132+2244x^134+1330x^135+5556x^137+1468x^138+8634x^140+1456x^141+10416x^143+1592x^144+7590x^146+1528x^147+3540x^149+1434x^150+624x^152+1372x^153+1210x^156+968x^159+800x^162+412x^165+316x^168+156x^171+60x^174+54x^177+16x^180+14x^183+2x^189 The gray image is a linear code over GF(3) with n=213, k=10 and d=105. This code was found by Heurico 1.16 in 99.3 seconds.