The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 X 0 1 1 1 X X 1 2X 1 1 1 2X 1 1 1 1 1 0 1 0 0 X 2X+1 2X+1 2X+2 2 1 2 2X 1 1 2X+2 2 2X 1 1 1 2X+2 2 0 1 1 1 X 2X+1 X+2 1 2X 2 0 2X+1 2X 0 0 1 1 2X+2 2X X+2 2X+1 2 X+1 0 2X+1 X 1 X+1 2 0 2X+1 2X+2 2X+2 2 2X 1 X+2 2X X+1 2X+2 2 2X+1 2X X+1 2X+1 1 0 0 0 0 0 2X 2X 0 2X X X 2X 2X 0 X X 0 0 X 2X 2X X 2X X X X 2X 0 X X X X 0 0 X X 0 generates a code of length 35 over Z3[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+118x^63+78x^64+126x^65+300x^66+162x^67+144x^68+282x^69+72x^70+78x^71+206x^72+78x^73+72x^74+190x^75+54x^76+36x^77+102x^78+36x^79+30x^80+14x^81+6x^82+2x^93 The gray image is a linear code over GF(3) with n=105, k=7 and d=63. This code was found by Heurico 1.13 in 0.0209 seconds.