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 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 2X^2 X^2 X^2 2X^2 2X^2 2X^2 0 X^2 X^2 2X^2 X^2 X^2 X^2 X^2 2X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 0 0 0 2X^2 2X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 2X^2 2X^2 0 2X^2 X^2 2X^2 X^2 0 X^2 X^2 0 X^2 X^2 2X^2 0 X^2 X^2 0 X^2 2X^2 2X^2 2X^2 0 X^2 X^2 0 0 X^2 0 X^2 2X^2 0 X^2 2X^2 2X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 2X^2 2X^2 2X^2 0 0 0 0 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 0 0 X^2 X^2 2X^2 2X^2 X^2 0 2X^2 0 2X^2 0 2X^2 0 X^2 0 0 2X^2 X^2 2X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 2X^2 0 2X^2 0 0 2X^2 0 X^2 2X^2 2X^2 0 X^2 X^2 2X^2 0 X^2 0 X^2 2X^2 X^2 0 0 2X^2 2X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 2X^2 0 2X^2 2X^2 X^2 2X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 2X^2 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 X^2 X^2 0 X^2 X^2 X^2 2X^2 0 2X^2 0 0 0 2X^2 2X^2 2X^2 X^2 2X^2 0 0 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 2X^2 0 2X^2 2X^2 0 X^2 X^2 2X^2 2X^2 0 0 0 0 0 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 0 2X^2 X^2 X^2 2X^2 0 2X^2 2X^2 X^2 X^2 0 2X^2 X^2 2X^2 X^2 X^2 2X^2 X^2 X^2 0 2X^2 2X^2 2X^2 0 X^2 0 0 0 2X^2 0 X^2 2X^2 0 X^2 X^2 generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+98x^84+192x^87+208x^90+228x^93+728x^96+2144x^99+13122x^100+2168x^102+198x^105+170x^108+172x^111+108x^114+90x^117+30x^120+16x^123+4x^126+4x^129+2x^144 The gray image is a linear code over GF(3) with n=450, k=9 and d=252. This code was found by Heurico 1.16 in 2.37 seconds.