The generator matrix 1 0 1 1 1 1 1 1 X+3 2X 1 1 1 1 0 1 1 X+3 1 1 1 1 1 1 2X X 1 3 1 1 1 1 1 0 X+3 1 1 1 1 1 1 1 1 1 6 1 2X 1 2X+3 1 1 1 1 1 1 1 2X 1 X+3 1 1 0 1 1 1 0 X 1 1 2X+3 1 1 X 1 0 1 1 8 X+3 2X X+2 2X+8 1 1 2X+4 X+1 3 2 1 2X+1 X 1 X+2 1 2X+3 2X+8 8 X+4 1 1 X 1 X+4 X+8 3 8 0 1 1 X+1 2X+8 2X 2X+4 2X+5 4 8 1 2X+6 1 X+1 1 5 1 X+8 2X+4 6 X 2X+7 2X+6 X+5 1 2X+1 1 7 2X+7 1 X+6 2X+8 X 1 2X+3 2X 2 1 1 6 2X 2 0 0 2X 0 0 6 3 0 6 6 2X+3 2X X+3 X 2X X X+6 2X+3 2X+3 X+6 X 2X+6 2X+6 X+6 2X+3 X X X X+6 X+3 X 2X 2X 2X+3 6 0 2X+3 6 2X 3 0 2X+6 X+6 3 0 2X+3 6 X+3 X+3 6 6 2X+6 2X+6 2X+3 2X 3 2X+3 X+3 0 X+6 0 0 3 X+3 6 2X+6 2X+6 2X X+3 2X+3 2X+6 X+3 X+3 6 0 0 0 6 0 0 0 3 6 3 3 6 6 6 3 3 3 6 0 6 3 6 3 3 0 6 0 0 3 3 6 6 3 3 6 3 0 3 0 0 0 0 0 3 0 0 3 3 6 3 0 0 6 3 0 3 6 3 3 6 0 3 0 6 3 0 3 6 0 6 6 6 0 6 0 0 0 0 3 6 6 3 6 3 0 0 0 0 3 6 6 6 3 6 3 6 0 3 3 0 6 6 0 0 3 3 3 6 0 3 6 3 6 3 3 0 0 0 6 3 0 3 6 0 6 3 0 6 0 6 3 0 6 3 3 3 0 6 6 0 0 0 6 0 3 6 0 3 generates a code of length 74 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138. Homogenous weight enumerator: w(x)=1x^0+660x^138+180x^139+648x^140+2270x^141+1944x^142+2682x^143+4326x^144+3474x^145+4104x^146+5676x^147+5724x^148+5418x^149+6132x^150+4482x^151+3744x^152+3386x^153+1656x^154+864x^155+960x^156+36x^157+36x^158+274x^159+246x^162+102x^165+14x^168+4x^171+4x^177+2x^180 The gray image is a code over GF(3) with n=666, k=10 and d=414. This code was found by Heurico 1.16 in 63.8 seconds.