The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 2X 1 1 0 1 X 1 1 1 1 1 1 X 1 X 2X 1 2X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 0 2X 2X 2X X 1 1 1 1 X 1 X 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+2 X+1 2 X+2 X+2 X+1 0 2 1 X+1 2X+2 1 2X+1 2X 1 2X 1 2 0 X+2 X+1 X 2X 1 X+1 1 1 2X+1 1 2 X+1 X+1 X+2 2X 2X+1 2X+2 2X+2 0 1 2X+2 X+2 2X+2 X+2 2X+2 1 1 1 1 1 2X X 2X 0 1 0 1 0 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X X 2X X 2X X X X 2X 0 0 X 2X 0 2X 0 0 X 0 X 2X 0 0 2X X X X 0 X 0 X 2X 2X 2X 2X 2X 0 2X 2X 2X 0 0 0 X 2X 0 2X X 0 X X 2X 2X 2X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 2X 0 0 X 0 0 X 0 2X X X 0 X 2X 2X 0 X X 2X 0 0 2X 2X 0 2X X X X 2X 0 X X 0 2X 0 2X 2X X 0 0 2X 2X X X 2X 2X X 0 0 2X 2X X X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X 2X X 2X 0 2X 0 0 2X 2X X 2X 0 2X 0 X 2X 2X 2X X 0 0 0 X X X X 0 0 X 2X X 0 0 X X 2X 2X 2X 2X X 0 2X X X X 0 X 2X 0 X 2X 2X X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+84x^141+66x^142+96x^143+260x^144+72x^145+96x^146+214x^147+126x^148+108x^149+254x^150+60x^151+66x^152+132x^153+84x^154+36x^155+98x^156+30x^157+36x^158+84x^159+36x^160+36x^161+58x^162+6x^163+12x^164+10x^165+6x^166+6x^168+2x^171+4x^177+4x^180+2x^183+2x^189 The gray image is a linear code over GF(3) with n=225, k=7 and d=141. This code was found by Heurico 1.16 in 0.144 seconds.