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 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 1 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 X X 1 1 X 0 X 0 0 2X X+3 2X+3 X 2X X+3 3 0 X+3 2X+3 6 2X 2X+3 X+3 3 0 2X+3 X X+6 X 2X+3 2X 6 2X+6 2X 2X 6 X+6 3 X+6 6 2X X+6 2X+3 2X+3 0 2X+3 X 0 2X 2X 0 X+6 X+3 6 X+3 3 X+6 6 2X+3 3 X+3 3 X X+6 X+6 3 X+6 X 3 2X+6 X+6 6 X+3 X+3 6 2X+3 6 X+3 3 2X+6 6 X+3 X 3 2X+6 X 2X 6 6 3 0 0 X 2X 0 2X+6 X+6 X 2X+6 2X+3 X 3 X+6 X+6 2X 3 2X 0 2X+6 6 X+6 0 2X+6 X+6 0 2X+6 X+3 X+6 6 2X+3 X+3 2X+6 6 X+3 X+6 6 3 2X X 2X+6 2X 2X+3 0 6 2X+3 2X+3 2X+6 X+3 2X X X 6 3 3 X+6 X+6 0 X 3 X+6 2X+3 2X X+3 X+3 2X+6 2X+6 X+3 0 6 X+3 2X+6 0 2X 2X X 2X 2X+6 X+3 6 3 X 2X+6 2X+3 X+6 X+3 0 0 0 6 0 0 3 0 0 6 3 6 3 6 3 0 0 3 0 6 3 6 3 6 0 3 0 3 6 3 3 3 6 0 6 3 0 6 6 3 0 3 3 3 6 0 6 0 6 3 0 6 3 6 6 3 0 6 0 6 0 0 3 3 3 6 6 6 0 6 6 3 6 3 6 6 3 3 3 3 6 3 3 0 0 0 0 0 0 6 3 0 6 3 0 3 6 0 0 0 0 0 3 0 0 6 6 6 3 3 3 3 3 3 0 6 3 3 0 3 6 6 3 3 6 6 0 3 0 0 6 3 3 3 3 6 0 0 0 6 6 6 6 3 0 3 0 3 0 6 6 0 3 3 6 3 6 3 6 6 0 6 3 3 6 6 6 3 3 0 generates a code of length 85 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+344x^159+1048x^162+162x^164+1234x^165+324x^166+1458x^167+1902x^168+1296x^169+3888x^170+2398x^171+1296x^172+1782x^173+1098x^174+504x^177+458x^180+270x^183+130x^186+80x^189+8x^192+2x^234 The gray image is a code over GF(3) with n=765, k=9 and d=477. This code was found by Heurico 1.16 in 3.03 seconds.