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 1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 X 1 1 1 X 1 0 X 0 3 2X X+6 X 2X+6 2X 3 X+6 2X+6 0 X+6 6 6 X 2X+6 0 2X X X+6 6 3 2X+6 2X X+6 2X+6 2X X 3 6 X+3 X+3 2X 2X+6 0 X+6 X+6 0 3 2X+3 6 X 2X+3 2X+3 6 0 0 X 2X+6 3 2X+6 X X+6 2X+3 3 X+6 2X 3 2X 2X+3 0 6 6 X+3 X+3 X+3 X+3 X+6 X+6 X+3 2X+6 0 3 X+6 2X+6 2X 2X 2X 6 6 2X+6 2X 2X+6 0 6 0 2X+6 3 3 2X+3 X+6 X generates a code of length 47 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+262x^90+108x^91+162x^92+522x^93+270x^94+324x^95+288x^96+108x^97+50x^99+72x^102+18x^105+2x^126 The gray image is a code over GF(3) with n=423, k=7 and d=270. This code was found by Heurico 1.16 in 0.0438 seconds.