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 X X 1 1 2X 2X X 1 1 X 1 1 X 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 1 1 2X X 1 1 1 1 1 1 2 0 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 0 2X+2 X+2 X X+1 2X+1 2X 0 X 0 1 2X 2X+2 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 X 2X 0 0 0 2X 0 2X X 0 X 2X 0 generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+204x^85+242x^87+378x^88+148x^90+258x^91+108x^93+252x^94+104x^96+174x^97+90x^99+114x^100+18x^102+66x^103+14x^105+6x^106+2x^108+6x^109+2x^117 The gray image is a linear code over GF(3) with n=138, k=7 and d=85. This code was found by Heurico 1.16 in 0.0635 seconds.