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 3 1 1 1 0 1 1 3 X 1 1 1 1 1 X 1 1 1 X 0 X 0 0 2X X+3 X 2X+3 2X 6 3 X+3 X+3 2X+3 2X 3 X+6 2X+3 X X+3 X 2X 6 2X+6 0 X+3 2X+3 X X 3 3 6 2X 3 2X+6 2X 2X+6 X X+3 2X+3 2X+6 X+3 X+3 X 0 0 0 3 2X+6 X+6 3 2X+3 2X+3 2X 0 2X 3 X 6 2X+3 2X X 2X 2X+3 X X+3 3 3 6 6 2X+6 2X 0 0 2X+6 2X+3 0 0 X 2X 6 2X+3 X X+3 2X+6 2X+3 0 2X+3 6 2X 6 X X X+6 2X 0 X+6 2X 2X+3 X+6 X+6 0 3 2X+3 X 0 2X+3 6 X+6 X 3 X+6 2X+6 X+6 2X 6 2X 3 2X+6 6 2X 2X+6 6 3 2X+3 X+6 X+3 0 X 2X X+6 X X+3 X+6 X+6 X 2X+3 2X+3 3 6 X+6 2X+3 6 2X+3 2X 3 2X 2X X+3 3 X+3 X+3 0 0 0 6 0 0 0 0 0 0 3 6 3 6 3 3 6 3 3 6 3 3 3 6 6 3 6 3 3 6 6 0 3 6 3 6 3 0 6 6 3 6 0 0 0 3 6 3 6 6 3 0 0 0 0 0 0 0 3 3 6 0 6 0 6 3 0 3 6 3 6 0 6 0 6 3 generates a code of length 76 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 145. Homogenous weight enumerator: w(x)=1x^0+198x^145+336x^146+70x^147+408x^148+528x^149+570x^150+822x^151+792x^152+996x^153+750x^154+594x^155+22x^156+42x^157+48x^158+18x^159+120x^160+48x^161+2x^162+54x^163+72x^164+12x^165+18x^166+6x^168+12x^169+6x^170+6x^172+6x^173+2x^174+2x^210 The gray image is a code over GF(3) with n=684, k=8 and d=435. This code was found by Heurico 1.16 in 22.1 seconds.