The generator matrix 1 0 0 1 1 1 1 1 1 6 1 1 X+6 1 2X+3 1 2X 1 X+3 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 2X 3 1 1 X 1 X 1 1 2X+6 2X+6 1 1 1 1 1 1 1 1 0 1 0 6 1 7 5 X 8 1 2X+7 2X+5 1 X+3 1 2X X+6 2X+1 1 5 1 X+5 X+2 X+6 2X+8 2X+6 4 X+7 6 X+1 2X+8 X+8 1 X 3 1 1 X+4 X 1 X+4 1 6 8 2X+3 1 2X+4 2X+7 X+5 5 X+2 8 2X+3 3 0 0 1 2X+7 2X+1 6 X+2 X+8 2X 1 2X+5 7 5 2X+3 X+6 4 1 2X+4 X+4 2X+8 2X+5 7 2X X+3 2X+3 X+8 X+6 2X+2 4 X+4 X+3 2 8 1 2X+3 0 X+7 3 2X+2 2X+7 X+6 2X+5 5 0 1 X+8 2 4 X+8 X+3 2X+1 2X+4 3 X+6 generates a code of length 54 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+642x^102+768x^103+1608x^104+2714x^105+1656x^106+1566x^107+2768x^108+1512x^109+1314x^110+2092x^111+654x^112+930x^113+898x^114+432x^115+90x^116+18x^117+8x^120+12x^123 The gray image is a code over GF(3) with n=486, k=9 and d=306. This code was found by Heurico 1.16 in 0.682 seconds.