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 0 X 2X 0 X+3 2X 0 X+3 2X 6 X+3 2X+6 X+6 2X+3 0 X+3 2X 3 X+6 2X+6 X+3 2X+6 0 3 3 X 2X+6 2X+6 0 6 X+6 2X X 2X+6 X+3 0 0 0 6 0 0 0 6 3 6 6 0 3 6 6 0 3 0 6 6 3 0 6 3 0 3 6 0 0 0 3 6 6 6 3 6 0 0 0 0 6 0 6 6 3 6 0 0 6 6 3 0 0 6 6 0 6 3 0 6 6 3 3 6 0 6 3 3 3 3 3 0 0 0 0 0 0 3 3 6 3 3 6 6 3 3 6 6 6 6 0 0 0 6 6 0 3 0 3 0 3 6 6 0 3 6 6 3 0 generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+86x^63+78x^65+220x^66+78x^68+186x^69+648x^70+102x^71+3168x^72+1296x^73+114x^74+208x^75+66x^77+166x^78+42x^80+44x^81+6x^83+40x^84+6x^87+4x^90+2x^105 The gray image is a code over GF(3) with n=324, k=8 and d=189. This code was found by Heurico 1.16 in 0.143 seconds.