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 X 1 0 X 1 1 6 1 1 3 X 1 X X 6 1 1 1 0 X 0 0 0 2X X+3 2X+3 X 2X+3 3 3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6 0 X+6 2X 2X+3 2X+6 3 3 2X+3 2X+6 X+3 2X+3 2X+6 0 X 6 X 0 2X+3 6 2X+6 X 6 3 6 2X+6 X 2X+3 6 0 X+3 2X+3 X 3 3 2X+3 3 X X X 2X+6 0 0 X X 2X+6 X 3 2X 2X 0 0 X 0 6 3 6 3 0 0 X+3 2X+6 2X+6 2X+3 X+6 X 2X X 2X+6 X 2X+6 2X+6 X+3 X+3 2X 2X+6 X+6 2X X+6 2X 6 X+6 X+6 X+3 X+3 X+3 2X+3 6 3 X+3 6 X 0 2X+3 6 6 6 X+3 3 6 2X+3 X+3 6 X 3 X+6 X+3 X+3 2X+6 2X+6 X X+6 3 X 0 6 X 2X+3 2X+3 0 0 0 X 2X+3 0 2X X+6 X 2X 2X+3 6 3 0 6 X+6 X+6 3 2X+6 2X 2X 2X+6 2X X+6 X+6 X+3 X+3 2X+3 2X+3 2X X 3 2X+3 X+6 X 0 X+3 X+6 6 X X+6 X 2X+3 3 0 2X+6 2X+6 3 3 6 2X+3 6 X 2X+3 X 3 2X+6 2X 2X+3 0 X 0 X 2X 2X+3 0 2X+6 X 6 generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 128. Homogenous weight enumerator: w(x)=1x^0+336x^128+254x^129+36x^130+768x^131+468x^132+594x^133+1122x^134+1004x^135+2052x^136+1812x^137+1676x^138+3690x^139+1962x^140+1110x^141+918x^142+486x^143+336x^144+360x^146+116x^147+234x^149+96x^150+138x^152+34x^153+48x^155+6x^156+24x^158+2x^180 The gray image is a code over GF(3) with n=621, k=9 and d=384. This code was found by Heurico 1.16 in 2.46 seconds.