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 X X 1 1 0 X 0 0 0 0 0 0 0 0 X X X 2X X 2X X 2X X X 2X 2X X 2X X 2X X X X 0 X 2X 0 0 0 X 0 0 0 0 X 2X 2X 2X X X 0 2X X X 0 X 2X 0 0 X X 0 X 0 2X 0 0 X 2X 0 0 0 0 X 0 0 X 2X 0 2X 0 X 2X 0 2X 2X X 2X 2X 0 2X 2X 2X 2X 0 X X 2X 2X X 2X 0 0 0 0 0 0 X 0 2X 2X X 0 2X X X 0 X 0 X 2X 2X 0 0 2X 0 X 2X X 2X X 0 0 2X X X 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X 0 X 2X 2X 0 0 X 0 X 2X X 2X 0 0 X X 0 X 0 2X X generates a code of length 33 over Z3[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+44x^54+88x^57+112x^60+162x^62+108x^63+648x^65+88x^66+648x^68+60x^69+78x^72+78x^75+42x^78+12x^81+14x^84+2x^87+2x^93 The gray image is a linear code over GF(3) with n=99, k=7 and d=54. This code was found by Heurico 1.16 in 0.0599 seconds.