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 X 1 1 1 X 1 0 X 2X 0 X+3 2X 2X+6 6 X+3 X+3 0 2X 0 2X X+3 2X+3 X+3 3 X 6 6 X+6 2X+6 X+6 0 6 2X+3 2X+6 3 6 0 0 6 0 0 0 3 0 3 3 6 3 3 3 3 0 0 6 3 0 0 6 3 0 6 3 6 3 6 0 0 0 0 6 0 6 3 3 3 3 3 0 3 0 0 0 6 6 0 6 3 3 6 3 3 3 3 0 3 3 0 0 0 0 3 3 6 0 3 6 3 3 3 0 6 3 0 6 0 3 3 6 0 3 0 6 6 6 0 0 generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+126x^53+256x^54+396x^56+68x^57+126x^59+4488x^60+522x^62+128x^63+252x^65+82x^66+36x^68+42x^69+20x^72+10x^75+6x^78+2x^84 The gray image is a code over GF(3) with n=270, k=8 and d=159. This code was found by Heurico 1.16 in 18.2 seconds.