The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 2X 1 1 1 X 1 1 1 1 0 0 1 1 X 1 1 1 1 1 X 1 1 2X 1 1 1 1 2X 1 1 1 X 1 2X 1 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 0 1 2X+2 2X+1 X 1 1 2X+1 2X 2 2X 1 2 2X+1 1 1 2 1 2X+2 X+2 1 2 X+2 1 2X X+2 2X+2 2X 2X X+2 0 2X+1 1 X 1 0 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 0 X+1 X+1 2X+2 X+2 X+2 2X+1 0 X+1 X+2 1 2X+1 2X 0 X+2 2 X 2 X+2 X+1 X 2X 2X+1 X+2 0 2X+2 0 X+2 1 1 1 X+2 X 2X+2 2X+1 2X+2 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 2X X 0 2X 2X 2X X 2X 0 0 0 2X 2X 2X 2X 2X 0 2X X 2X 0 0 2X 2X 0 X 0 X X 0 2X 0 X 0 X 2X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X X 2X X 0 2X 2X 0 X X 0 X 0 0 0 X X 0 0 0 X X X X 2X 0 X 2X X 0 X X 2X 2X X X 2X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 0 X 0 X 2X X X 0 X X 2X 2X 0 0 X 0 2X X 2X 0 2X 2X 2X 2X X 2X X 2X X X 2X X 2X generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+198x^85+314x^87+792x^88+678x^90+1350x^91+798x^93+1998x^94+1260x^96+2460x^97+1250x^99+2550x^100+1176x^102+2118x^103+690x^105+1230x^106+290x^108+366x^109+24x^111+60x^112+46x^114+18x^117+12x^123+4x^126 The gray image is a linear code over GF(3) with n=147, k=9 and d=85. This code was found by Heurico 1.16 in 22.3 seconds.