The generator matrix 1 0 1 1 1 1 1 X+6 1 1 1 2X 1 1 1 0 1 1 1 1 1 1 1 1 1 3 1 1 X 1 0 1 2X+7 8 X+1 X+6 X+5 1 2X 7 2X+8 1 2X+7 0 8 1 X+6 2X X+1 7 3 2X+4 X+3 X+4 X+5 1 2X+3 4 2X+6 2X+2 0 0 6 0 3 6 3 3 0 6 0 0 3 6 3 3 0 6 6 3 3 0 3 0 6 6 3 0 3 6 generates a code of length 30 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+564x^57+174x^58+562x^60+306x^61+570x^63+6x^67+2x^69+2x^72 The gray image is a code over GF(3) with n=270, k=7 and d=171. This code was found by Heurico 1.16 in 6.96 seconds.