The generator matrix 1 0 1 1 1 1 1 X+3 1 1 1 2X 1 1 1 0 1 1 1 1 1 1 X X X 6 6 0 1 2X+4 8 X+1 X+3 X+2 1 2X 4 2X+8 1 2X+4 0 8 1 X+3 2X+6 X+1 7 X+2 2X+5 3 X 2X+3 1 1 0 0 3 0 6 3 6 6 0 3 0 0 6 3 6 6 0 3 3 6 0 6 3 6 3 6 0 generates a code of length 27 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+558x^51+180x^52+600x^54+288x^55+522x^57+18x^58+18x^60+2x^81 The gray image is a code over GF(3) with n=243, k=7 and d=153. This code was found by Heurico 1.16 in 8.82 seconds.