The generator matrix 1 0 0 0 1 1 1 1 1 1 2X 1 1 1 X 1 X 2X 1 1 X 1 1 2X 0 1 1 1 1 0 1 X 1 0 1 1 1 0 1 1 1 0 1 1 1 1 X 0 1 0 0 0 0 2X+1 1 2X+2 2X+1 1 1 X 2X 1 2X+1 1 1 X+2 X 1 1 2 1 0 1 2X+2 2X+1 X 1 2X+2 1 X+1 1 1 0 2 1 X X X+1 2X X+2 2X 2 X+2 X 0 0 1 0 1 0 2X 2 2X+1 X+2 2X+2 1 2 X+2 2 2X 0 2X+1 X+1 1 2X+1 2X+1 2X 2 1 X X+2 2 2X+2 X+1 2X X+2 2X+2 2 X+1 X+2 2X+2 X 2X+1 2X+2 2X 1 0 2X 1 X+2 1 0 0 0 1 2 1 2X+2 2X+1 X 0 2X+1 X+2 2 X 2X+2 0 X+1 2X 2X+1 2X 2X+2 2X+1 X+1 0 1 X+1 X+1 2 2X+1 2X+1 2 1 X 2 0 X+2 2X 2X 0 1 0 0 X X+2 X X+1 X+1 0 0 0 0 2X 0 2X 0 X X 0 X X 0 2X 0 X X 2X 2X 2X X 2X 0 0 0 X X 0 0 2X 0 2X 2X 0 2X X 2X 2X 0 X 2X X 2X 0 0 0 0 0 0 0 0 2X 0 2X X X 0 X X 2X X 2X 2X X 2X 2X 2X 2X X X X X 0 2X X X 2X 2X X 2X 2X 2X 0 X X 0 0 0 2X 2X 0 2X X generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+408x^80+350x^81+1518x^83+1180x^84+3354x^86+1908x^87+5124x^89+3112x^90+7152x^92+3580x^93+8334x^95+3990x^96+7008x^98+3138x^99+4338x^101+1776x^102+1758x^104+474x^105+366x^107+114x^108+6x^110+44x^111+8x^117+8x^120 The gray image is a linear code over GF(3) with n=141, k=10 and d=80. This code was found by Heurico 1.16 in 58.2 seconds.