The generator matrix 1 0 1 1 1 1 1 2X^2+X 1 1 1 2X 1 1 0 1 2X^2+X 1 1 1 1 1 1 2X 1 1 1 0 1 1 1 2X 1 1 X^2 1 X^2+2X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2X^2+2X+1 2 2X^2+X X+1 2X^2+X+2 1 2X 2X+2 2X^2+1 1 X+1 2X^2+X 1 2X^2+2X+1 1 2 0 2X 2X^2+X+2 2X^2+1 2X+2 1 0 2X^2+2X+1 2X^2+X+2 1 X+1 X^2+2X+1 2X 1 X^2+2X X^2 1 X^2+X+1 1 X^2+X+2 2 X^2+2 X^2+2X+1 X^2+2X 2X^2+X X^2 2X^2+1 2X^2+2X+1 X^2+1 1 0 X^2 0 0 2X^2 0 2X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 2X^2 0 2X^2 X^2 X^2 0 2X^2 X^2 2X^2 0 X^2 X^2 0 2X^2 2X^2 0 X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 2X^2 2X^2 0 2X^2 2X^2 0 0 2X^2 0 2X^2 0 X^2 2X^2 0 0 0 X^2 2X^2 2X^2 X^2 0 X^2 2X^2 0 2X^2 X^2 0 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 0 0 0 0 2X^2 X^2 0 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 0 0 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+96x^94+492x^95+422x^96+390x^97+876x^98+668x^99+372x^100+1188x^101+768x^102+318x^103+588x^104+154x^105+96x^106+96x^107+6x^108+24x^109+2x^111+4x^120 The gray image is a linear code over GF(3) with n=450, k=8 and d=282. This code was found by Heurico 1.16 in 0.125 seconds.