The generator matrix 1 0 1 1 1 1 1 X 2X 1 1 1 1 3 1 1 X 1 1 1 1 1 1 X 1 1 1 X 1 X+6 1 1 2X+6 1 1 1 3 1 1 3 1 1 3 1 1 1 1 X+6 1 1 1 3 1 1 1 1 1 1 1 X+3 X+6 1 1 6 1 1 2X+3 0 1 1 8 3 2X+1 8 1 1 8 2X+4 X+3 X+1 1 3 X+8 1 2X+6 2X+5 X+4 3 X+4 X+5 1 2X X+1 2X+2 1 X+3 1 2X+5 2X+1 1 X 8 X+8 1 1 2X+4 1 2X+2 2X+3 1 2 2X+8 X+3 2X+7 1 X+6 1 2X 1 X+4 2X+5 2X+2 X+1 2X+6 2X+8 X+7 1 1 7 2X+3 X X+8 3 1 0 0 2X 0 3 0 0 6 0 3 3 6 6 X+6 X 2X+3 2X 2X X+6 X+6 X+3 X 2X 2X+3 2X 2X X X+6 2X+3 X X X+6 2X+3 X+6 2X+3 0 2X+6 X+3 2X+6 2X+3 2X 2X+3 0 X 2X+3 2X+3 X+3 X X+6 2X X+3 X+6 3 2X+6 6 X X+3 0 3 X+3 0 6 2X+3 3 2X+3 0 6 0 0 0 X X+3 X+6 6 X 2X+6 2X+6 2X+3 2X 3 2X+6 6 X+6 2X X+3 2X+3 6 2X+3 X 6 X+3 2X X 0 X 0 0 X+6 2X+6 6 X 2X+6 6 2X+3 X 2X+6 X 6 3 X X+6 X+3 2X 3 2X+6 3 X+3 X 0 X 3 0 2X+6 X+3 2X X+3 X+6 2X 6 X 2X+6 2X+6 X X+6 generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+318x^124+546x^125+700x^126+1392x^127+1860x^128+2926x^129+3138x^130+3708x^131+5940x^132+5142x^133+5124x^134+7654x^135+5874x^136+4290x^137+4544x^138+2394x^139+1464x^140+736x^141+408x^142+288x^143+36x^144+168x^145+114x^146+36x^147+84x^148+84x^149+20x^150+36x^151+18x^152+6x^153 The gray image is a code over GF(3) with n=603, k=10 and d=372. This code was found by Heurico 1.16 in 45.5 seconds.