The generator matrix 1 0 0 1 1 2X^2+2X 1 1 1 1 1 1 0 1 1 1 1 X^2+2X 1 1 2X 2X^2+X 1 1 X^2+X 1 1 1 2X^2 1 2X^2 1 1 1 0 1 X 1 1 1 X^2+2X X^2 1 1 2X^2+X X^2+X 1 1 0 1 0 1 0 2X^2+2X 0 1 2X+1 2 X+1 X+2 1 2X^2+2X+2 1 2X^2+X 2X^2+X+1 X+1 2 1 2X^2+2X+2 X 1 X^2 2X 2X+1 1 X^2+2 2X^2+X+2 1 1 X^2+2X+2 2X^2+2X 2X^2+X+1 X^2+X+2 2X^2+X X 2X^2+2X 1 X^2+X+2 X+1 X^2+X+2 1 1 2X^2+X+1 2X^2+1 1 1 2X^2+1 2X+2 1 X^2+X+1 0 0 1 2X^2+2X+1 2 2X^2+2X+1 X+2 2X 0 X+2 1 X^2+2X+1 2 2X^2 X^2+X X^2+2X+2 X^2+X+1 X^2+2X+2 X^2+X+2 2X^2+X+2 2X 1 X^2+X+1 2X^2+1 2X^2+1 2X^2+X 2X^2+2 2X^2 X^2+X 2X^2 1 2X+1 2X^2+X 2X^2+1 1 2X X^2+2X+1 X^2+2X+1 X^2+2X 2X^2+2X X+2 2X^2+X+2 X^2+1 2X^2+2X 1 X^2 X^2+X+2 X^2+X+1 X^2+2 2X^2+2 0 0 0 2X^2 X^2 0 X^2 0 X^2 0 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 2X^2 X^2 2X^2 0 0 2X^2 2X^2 X^2 0 X^2 0 2X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 0 X^2 X^2 2X^2 0 0 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+372x^92+792x^93+1872x^94+2838x^95+3250x^96+5634x^97+4734x^98+5690x^99+7194x^100+6006x^101+6372x^102+5988x^103+3756x^104+1852x^105+1620x^106+684x^107+228x^108+42x^109+66x^110+28x^111+6x^112+12x^113+4x^114+6x^117+2x^120 The gray image is a linear code over GF(3) with n=450, k=10 and d=276. This code was found by Heurico 1.16 in 5.49 seconds.