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 X X 0 X X 0 1 1 1 X X 1 X X 1 1 1 1 1 1 1 1 3 3 X 0 X 2X 0 X+6 2X 3 X+6 2X+3 3 X+3 2X+3 3 0 X+3 X 2X 2X+3 6 6 X+6 X+3 2X+6 2X+6 6 X 2X+6 X+6 2X X X+6 2X X 0 0 3 X+3 2X+3 3 X+3 2X+3 X+6 X+6 0 X+3 3 X+3 X+6 X+3 X X 6 0 0 3 3 6 6 6 3 0 3 0 3 0 6 3 6 0 6 0 3 0 6 3 6 6 3 0 6 0 3 3 3 0 0 3 6 0 6 3 6 3 6 3 6 6 0 3 0 0 3 0 0 generates a code of length 52 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+372x^102+234x^105+94x^108+24x^111+2x^117+2x^126 The gray image is a code over GF(3) with n=468, k=6 and d=306. This code was found by Heurico 1.16 in 1.42 seconds.