The generator matrix 1 0 1 1 1 1 1 1 6 1 1 0 1 1 1 3 1 2X X+3 1 1 1 1 1 1 1 1 1 1 1 X+6 2X+3 1 1 X+3 2X 1 1 1 1 1 2X+3 1 3 1 1 1 1 1 1 2X+3 1 1 3 0 1 1 8 6 5 0 2X+1 1 4 8 1 X+1 6 X+5 1 2X+8 1 1 X+6 2X+8 2X+3 2X+4 X+2 7 X+2 2X+2 2X+7 2X X+3 1 1 X+7 2X+3 1 1 7 2X+4 X+1 X X 1 6 1 2X+4 2X+8 2 2 X+3 X+3 1 0 X+3 1 0 0 2X 3 X+3 X+6 2X+3 X X 2X+6 2X+3 2X+3 3 6 2X+3 X+3 0 0 2X+6 2X+6 2X X+6 X+3 X+6 6 0 X 6 2X+6 X+3 3 2X+3 X+3 0 X+6 X+6 X 3 2X+3 X+6 6 2X+6 2X 3 2X+3 2X+6 X 6 2X 3 6 3 2X+6 X generates a code of length 54 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 103. Homogenous weight enumerator: w(x)=1x^0+240x^103+558x^104+920x^105+876x^106+558x^107+790x^108+408x^109+498x^110+706x^111+522x^112+318x^113+76x^114+54x^115+2x^120+6x^121+6x^123+12x^125+10x^126 The gray image is a code over GF(3) with n=486, k=8 and d=309. This code was found by Heurico 1.16 in 0.139 seconds.