The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 X 1 0 1 1 1 X 2X 1 1 1 X 1 1 1 1 1 1 1 1 1 1 X 2X 2X 1 1 1 2X 1 X 1 1 1 1 1 1 2X 1 1 1 1 X 1 X 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2X+1 2 1 0 2 2X+1 1 X 2 2X+1 1 1 2 0 2X+1 X+2 1 2X+1 1 X+2 0 X+1 1 1 1 X+2 2X+1 1 1 2X X+2 0 2X+2 2 1 2 X+1 X 1 1 1 2X+1 X 0 1 1 1 2X+2 X 0 2X X+2 2X 1 2X X+2 2X+1 X+1 0 1 1 2 0 0 0 2X 0 0 0 0 0 0 2X X X X X 0 0 2X X 0 2X X 0 0 X X 2X 2X 0 0 2X 0 2X 2X 2X X 0 0 2X X 0 0 0 X 2X X 2X 2X 0 2X 0 2X X 2X 0 2X 0 0 2X 0 X 2X 0 2X 0 2X 2X 2X X 2X X 0 2X 2X 0 2X X 0 0 0 X 0 0 0 0 0 0 0 2X 0 2X X 2X 0 2X X X 0 X 2X 2X X 0 2X 0 X 2X X 2X 0 2X X 0 X 0 2X 2X X X 0 2X X X 0 0 X 2X X X 0 0 X 0 2X 0 2X 0 0 0 2X X 2X X 2X X X 0 2X 0 X X 2X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 2X 2X X 2X 2X 2X X 2X 0 0 X X 0 2X 2X 2X 2X 0 2X 2X 2X 2X 0 0 X 0 0 2X X X 2X 2X 0 0 0 0 2X 2X X 2X 0 2X X X 0 X X 2X X 0 X 2X X X X 0 0 2X 0 X 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 2X X 2X X 2X 2X X X 2X X X 2X 0 2X 2X X X 2X 0 X 2X X 2X X 0 X 0 0 0 2X X 0 2X 0 2X X X 2X X X 0 2X X 2X 2X 2X 2X 0 0 2X 0 0 0 0 0 0 X 0 2X 2X X 2X 0 2X 2X X 0 X 0 X 2X X X 2X 0 X X X X 0 X 2X 2X X X 2X 0 0 0 X X X 2X 2X 2X 0 X 0 X X X X 0 2X 0 X 0 X 2X 0 X 2X 0 2X 0 0 0 2X 0 0 X 0 0 X 0 2X 0 0 0 0 0 0 0 X X 2X 0 2X 2X X X 0 0 0 0 2X 2X 0 2X 0 X 2X X X X 0 0 X 2X X 2X X 2X 2X X 0 X 0 2X 2X X 2X 2X X 0 X 2X 2X 2X X 0 X 2X X X 2X X 0 X X 2X 0 2X 2X 0 0 0 0 2X 0 0 2X generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+112x^129+294x^132+90x^133+400x^135+384x^136+756x^138+1086x^139+942x^141+2190x^142+1564x^144+3948x^145+2290x^147+5496x^148+2926x^150+7206x^151+2922x^153+7224x^154+2774x^156+5676x^157+2012x^159+3714x^160+1070x^162+1710x^163+690x^165+540x^166+360x^168+84x^169+242x^171+18x^172+158x^174+104x^177+36x^180+24x^183+4x^186+2x^189 The gray image is a linear code over GF(3) with n=228, k=10 and d=129. This code was found by Heurico 1.16 in 69.6 seconds.