The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 1 0 X 0 0 0 2X 2X^2+X 2X^2+2X X 2X^2+2X 2X^2 2X^2 2X^2+X 2X^2+2X 2X 2X^2+X 2X^2+X 2X^2+X 2X^2+2X X^2+X X^2+X 0 2X 2X^2+2X 2X^2+2X X^2 0 X^2+2X 2X^2 0 2X^2+2X X X^2 2X^2 X^2+X X 2X 2X 2X^2+2X X^2 X X^2+X X X X^2 X^2+2X 2X X^2+2X X 2X^2+2X 0 0 X 0 X^2 2X^2 X^2 2X^2 0 0 2X^2+X X^2+2X X^2+2X 2X^2+2X X^2+X X 2X X X^2+2X X X^2+2X X^2+2X 2X^2+X 2X^2+X 2X^2+2X X 2X 2X^2+X 2X^2 X^2+2X 2X^2+2X 2X^2+X X 2X^2 2X^2+X X^2+2X X^2 0 2X^2+X X X^2 X^2 2X 2X^2+X X 0 X^2+2X 2X X X^2+X 0 0 0 X 2X^2+2X 0 2X X^2+X X 2X 2X^2+2X X^2 2X^2 0 X^2 X^2+X X^2+X 2X^2 X^2+2X 2X X^2+2X 2X 2X X^2+X X X X X X X^2+X 2X^2+X X^2+X 0 2X^2 0 X^2+2X 2X^2 2X^2+X X^2+2X X^2+2X X^2+2X 2X^2+X X 2X^2+2X 2X^2 0 X^2 X^2+2X 2X^2+X X^2+X generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+282x^91+390x^92+106x^93+540x^94+636x^95+642x^96+786x^97+2484x^98+2062x^99+2658x^100+4062x^101+2120x^102+888x^103+660x^104+106x^105+354x^106+288x^107+32x^108+210x^109+156x^110+24x^111+84x^112+54x^113+8x^114+30x^115+18x^116+2x^135 The gray image is a linear code over GF(3) with n=450, k=9 and d=273. This code was found by Heurico 1.16 in 24.1 seconds.