The generator matrix 1 0 1 1 1 1 X+3 1 1 2X 1 1 1 0 1 1 1 1 1 3 1 1 X 1 1 1 2X+3 1 1 1 3 1 1 1 1 1 1 1 1 2X 3 1 2X+6 2X 1 1 1 2X+6 1 1 1 1 6 0 X 0 1 X 1 1 2X 1 1 1 1 1 1 1 1 0 1 1 8 X+3 X+2 1 2X+4 2X 1 2X+8 X+1 0 1 2 2X+4 X+1 X+8 X+3 1 2X X+4 1 2X+2 3 2X+1 1 1 X 2X+2 1 2X+3 X+4 2X+1 2X+8 2X+7 X+3 X+1 2 1 1 X+3 1 1 2X+6 2X+5 X+6 1 3 4 2X+5 2X 1 1 1 6 X+1 0 4 X+8 1 2 X+1 X+7 X 1 7 X+8 0 0 0 2X 0 0 3 3 3 6 0 0 3 2X+6 2X+3 X+3 2X+6 2X X 2X X+6 2X+6 X+3 X X+3 X+3 X+3 X+6 X+6 X+3 X X+3 X X+6 X 2X+3 2X+6 3 3 X 2X+3 X 2X 3 2X+6 X+6 2X+3 2X+6 0 X+3 2X+3 6 0 2X 2X X X 6 X X+6 X 3 2X+3 X+6 2X+6 3 2X 6 X 2X+3 0 0 0 6 0 0 0 3 0 0 3 6 0 0 3 6 3 6 6 6 3 3 3 3 6 0 0 0 0 3 6 6 6 3 3 0 6 3 6 0 3 6 6 0 0 6 6 6 0 0 6 3 6 6 0 3 3 3 0 6 6 3 0 3 3 6 3 3 6 0 0 0 0 3 3 6 6 6 3 6 0 3 0 6 6 3 6 3 0 3 3 3 0 6 0 0 6 3 3 3 0 0 0 6 6 3 0 3 3 0 0 3 6 0 6 6 0 6 3 3 3 3 0 3 3 3 0 3 0 6 0 0 6 0 3 0 0 6 generates a code of length 69 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+198x^127+108x^128+580x^129+1134x^130+1170x^131+2374x^132+2190x^133+3528x^134+4632x^135+3558x^136+6048x^137+6756x^138+4560x^139+6498x^140+6018x^141+2826x^142+2682x^143+1854x^144+1062x^145+378x^146+238x^147+282x^148+64x^150+168x^151+54x^153+42x^154+20x^156+18x^157+2x^159+2x^162+2x^174+2x^177 The gray image is a code over GF(3) with n=621, k=10 and d=381. This code was found by Heurico 1.16 in 10.9 seconds.