The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 0 1 0 1 1 1 1 0 X 0 0 2X X+6 2X+6 X 2X 3 2X X+6 X+6 0 3 2X X+3 2X+6 0 X 3 2X+6 6 X+6 X 0 X X X X+6 2X+3 0 0 X 2X 0 2X+3 X+3 X 2X+3 6 2X+3 2X+6 0 X+3 2X+6 3 2X X+6 2X X+3 X 0 2X 3 3 X+3 2X 0 X+3 2X X 0 0 0 3 0 0 6 0 0 3 6 6 3 3 0 3 6 6 6 6 0 0 6 0 6 0 3 6 0 6 3 0 0 0 0 3 6 0 3 6 0 6 6 0 0 0 6 0 3 3 0 6 6 6 6 3 6 6 0 6 0 6 generates a code of length 31 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+486x^54+1122x^57+810x^58+2334x^60+3240x^61+2916x^62+3534x^63+3240x^64+1266x^66+600x^69+120x^72+6x^75+8x^81 The gray image is a code over GF(3) with n=279, k=9 and d=162. This code was found by Heurico 1.16 in 26.6 seconds.