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 X 1 1 X 1 0 3 0 0 0 0 0 0 0 0 3 6 6 3 3 3 3 3 3 0 3 3 0 6 3 0 6 3 3 6 0 0 3 0 0 0 0 3 6 6 6 0 0 6 3 6 6 0 6 6 6 3 3 3 6 3 6 3 3 0 0 0 0 3 0 0 3 6 0 6 0 0 6 3 3 6 3 0 0 3 0 3 3 3 3 6 6 0 0 6 0 0 0 0 3 0 6 6 3 0 6 6 6 0 6 6 3 0 3 0 0 6 6 3 6 3 6 3 3 3 0 0 0 0 0 3 6 6 6 6 6 6 3 6 3 3 0 6 6 6 3 0 6 0 0 6 3 0 3 6 generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+156x^51+178x^54+324x^57+5208x^60+504x^63+132x^69+42x^72+12x^78+4x^81 The gray image is a code over GF(3) with n=270, k=8 and d=153. This code was found by Heurico 1.16 in 67.9 seconds.