The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X^2 1 1 1 X X X X 1 1 1 0 X 0 0 2X^2 0 X^2 2X^2+X X 2X^2+2X 2X^2+2X X^2+X X^2+2X 2X^2+2X X^2+X X X^2 X X X^2+X X^2+2X 2X^2 X^2 X X 2X 0 2X X 0 0 X 0 2X^2+X X^2 2X^2+X 2X^2+2X X^2+X X^2 2X 2X^2 2X^2+X X^2+X X^2+2X X^2+X 2X^2+2X 0 X^2 2X^2+2X 2X 2X 2X^2 2X^2+2X 2X^2+X X^2+2X 2X^2+2X X^2 X 0 0 0 X 2X^2+2X 2X^2+2X 2X^2+X 2X 2X^2 X 2X 2X^2+2X 2X X X 2X X^2+X X^2+X X 2X^2 0 0 2X^2+2X X 2X 2X^2 2X^2+2X 2X^2+2X 2X generates a code of length 29 over Z3[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+300x^50+228x^51+90x^52+804x^53+958x^54+540x^55+2322x^56+2448x^57+3024x^58+3924x^59+2442x^60+720x^61+960x^62+290x^63+360x^65+180x^66+78x^68+12x^69+2x^72 The gray image is a linear code over GF(3) with n=261, k=9 and d=150. This code was found by Heurico 1.16 in 0.858 seconds.