The generator matrix 1 0 1 1 1 3 1 1 1 1 X+6 X+3 1 1 1 1 6 X 1 1 1 1 1 1 2X 2X+3 2X+6 0 1 2X+7 X+6 2X+4 1 3 X+1 X+3 X+4 1 1 2X 2X+3 2X+1 X+7 1 1 6 X 2X+6 7 4 1 1 1 1 generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+726x^54+2x^81 The gray image is a code over GF(3) with n=243, k=6 and d=162. This code was found by Heurico 1.16 in 1.36 seconds.