The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 0 2X 1 1 1 1 1 2X 1 1 1 X 1 2X 1 X 1 1 1 1 X 2X 1 1 1 1 1 0 0 1 1 1 0 0 1 0 0 X 2X+1 2X+1 1 2X+2 2 2 1 0 X X+1 X+1 1 1 1 2X+2 2X+2 X+2 X+2 1 2X 0 2X+2 1 2X 1 2X 1 X 2X 0 X+2 1 1 X+2 X 1 0 X+2 1 1 0 X+2 X 1 0 0 1 1 2X+2 2X X+2 X+1 2X+1 2 0 0 1 2X+2 2X 1 2X+1 2 2 2X+1 X 0 2 2X+2 X+1 X 2X+2 2X+1 2 2X 2X+2 1 1 X+2 2X+1 0 2X 1 2X+2 2X 1 2X 2X 2X+1 X 2 0 X+2 X+1 0 0 0 2X 2X 0 2X 2X X X 2X 2X X X X 0 X 0 X 0 X 0 2X X X 2X 0 2X 0 2X X X 2X 0 X X 0 0 0 0 2X 2X 2X 2X X 0 2X X X generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+156x^91+228x^92+82x^93+204x^94+222x^95+42x^96+204x^97+204x^98+46x^99+144x^100+120x^101+34x^102+150x^103+90x^104+22x^105+66x^106+66x^107+8x^108+42x^109+30x^110+2x^111+6x^112+12x^113+2x^117+2x^120+2x^132 The gray image is a linear code over GF(3) with n=147, k=7 and d=91. This code was found by Heurico 1.16 in 0.0635 seconds.