The generator matrix 1 0 1 1 1 1 1 X+6 1 1 1 2X 1 1 1 0 1 1 X+6 1 1 1 1 2X 1 1 1 X+3 1 1 0 1 1 3 1 1 1 1 1 2X+3 1 1 1 1 1 1 1 1 1 1 1 X+6 X 1 0 1 2X+7 8 X+6 X+1 X+5 1 2X 2X+8 7 1 X+1 0 8 1 X+5 2X+8 1 X+6 2X+7 2X 7 1 3 2X+4 2X+2 1 2X 7 1 2X+3 8 1 4 X+4 2 X+3 X+2 1 2X+7 X+1 X+7 2X+1 7 X+1 4 0 6 X+6 X+3 1 3 X+5 0 0 6 0 6 3 3 3 0 0 3 0 3 0 3 3 3 0 3 6 6 6 6 0 0 6 0 3 0 6 0 6 3 3 3 3 0 6 3 0 3 0 6 0 3 6 0 6 3 0 3 6 0 6 0 0 0 3 6 6 3 0 3 6 0 6 3 6 0 3 6 0 6 3 6 0 3 3 3 3 3 3 0 6 3 6 6 6 6 0 6 0 0 0 3 6 0 0 3 3 0 6 6 6 3 0 6 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+268x^102+252x^103+288x^104+1100x^105+540x^106+216x^107+982x^108+756x^109+324x^110+994x^111+396x^112+144x^113+268x^114+10x^117+14x^120+6x^126+2x^138 The gray image is a code over GF(3) with n=486, k=8 and d=306. This code was found by Heurico 1.16 in 0.144 seconds.