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 3 1 1 1 1 X X 1 1 0 1 X 1 0 0 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 3 0 0 2X+6 0 3 X 2X+6 2X+6 X+6 2X+3 3 X X X+6 X 2X+6 X+6 X+6 X X 2X+3 X+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 2X+3 6 X 6 X+6 2X X+6 2X+3 0 0 6 2X X+3 3 2X+3 2X+3 X 0 2X 6 2X+3 X+6 2X 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 3 3 0 6 0 0 6 0 0 3 6 0 6 0 3 3 0 6 6 0 3 generates a code of length 77 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 147. Homogenous weight enumerator: w(x)=1x^0+434x^147+54x^148+144x^149+600x^150+486x^151+216x^152+856x^153+1296x^154+432x^155+704x^156+594x^157+180x^158+210x^159+170x^162+62x^165+72x^168+42x^171+6x^174+2x^207 The gray image is a code over GF(3) with n=693, k=8 and d=441. This code was found by Heurico 1.16 in 3.75 seconds.