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 X 1 1 1 1 1 1 1 0 X 0 0 0 0 X 2X 2X 0 0 X X X X X X X 0 2X 0 2X X 0 2X X X 2X 2X X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 X X 2X 2X 0 X 0 X X X X 0 X 2X 2X 0 2X X 2X 0 0 0 X 0 0 0 X 0 2X 2X X 0 X X 0 0 X 2X X X 2X 2X 0 0 2X X 2X 0 X X 0 X 2X 2X 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 0 2X 0 0 2X 2X 0 X 0 0 2X 2X 0 X X X 2X X 2X 0 0 2X X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+82x^60+56x^63+162x^64+324x^67+56x^69+14x^72+22x^78+10x^81+2x^96 The gray image is a linear code over GF(3) with n=99, k=6 and d=60. This code was found by Heurico 1.16 in 0.0207 seconds.