The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 2X 1 1 1 0 1 2X^2+X 1 1 1 1 1 1 2X 1 0 1 1 1 1 2X^2+X 1 1 2X 2X^2+X 2X 1 1 1 1 1 1 1 1 1 X^2+X X^2+2X 1 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X+2 2X 1 2X^2+1 2X^2+2X+1 2 1 2X^2+1 1 2X^2+X+2 2X+2 X+1 0 2X 2X^2+X 1 2 1 0 2X+2 X+1 2X^2+2X+1 1 0 X^2+X+1 1 1 1 2X^2+2X+1 X^2+2X+1 X+1 X^2+X+1 2X^2+2X+1 2X^2+1 2X^2+X+2 X^2+2X+1 X+1 1 1 2X^2+X 2X+2 2X^2+X 0 0 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 X^2 2X^2 0 0 0 2X^2 2X^2 X^2 0 X^2 0 2X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 0 2X^2 X^2 0 0 0 2X^2 X^2 0 X^2 2X^2 0 X^2 0 X^2 2X^2 0 0 0 X^2 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 2X^2 0 X^2 0 0 X^2 X^2 2X^2 2X^2 0 2X^2 2X^2 X^2 2X^2 0 0 2X^2 0 X^2 X^2 2X^2 X^2 2X^2 X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 X^2 0 0 0 0 2X^2 2X^2 X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 0 2X^2 0 2X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 2X^2 0 0 X^2 X^2 X^2 2X^2 0 2X^2 0 2X^2 2X^2 0 2X^2 X^2 0 X^2 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+324x^92+304x^93+216x^94+1152x^95+796x^96+1296x^97+2148x^98+1712x^99+2592x^100+2952x^101+1714x^102+1728x^103+1884x^104+444x^105+246x^107+58x^108+36x^110+40x^111+6x^113+18x^114+2x^117+12x^120+2x^123 The gray image is a linear code over GF(3) with n=450, k=9 and d=276. This code was found by Heurico 1.16 in 39.2 seconds.