The generator matrix 1 0 1 1 1 1 1 X+3 1 1 2X 1 1 1 0 1 1 1 X+3 1 2X 1 1 1 1 1 1 X+3 1 1 1 1 0 1 2X 1 2X 1 1 X+3 1 1 1 1 1 1 X+6 1 1 1 1 1 1 1 2X+6 1 X+6 0 X+6 1 X+6 1 1 1 1 1 2X 6 0 1 2X+4 8 X+3 X+1 X+2 1 2X+8 2X 1 4 2X+4 X+3 1 8 0 X+2 1 X+1 1 4 2X+8 2X X+1 2X 0 1 4 X+3 2X+8 2X+6 1 8 1 X+2 1 2X 5 1 X+2 2X+4 2X+8 8 X+3 X+6 1 X+6 0 5 2 2X+5 2X+6 X+5 1 5 1 1 1 X+3 1 4 X+3 X+6 7 X 1 X 0 0 3 0 0 0 3 3 6 6 3 3 6 6 0 0 3 0 3 0 0 6 3 6 6 0 6 6 6 0 0 0 3 0 6 3 3 6 0 6 6 0 3 6 3 3 6 6 3 6 6 3 3 3 6 6 0 0 0 3 3 3 0 6 6 6 3 6 0 0 0 6 0 6 3 6 6 3 0 6 0 3 0 3 0 3 3 0 3 3 6 6 6 6 0 3 0 3 0 3 0 6 0 3 3 0 0 6 6 3 0 3 6 3 3 6 6 3 0 0 3 6 0 0 6 6 0 0 3 6 0 6 6 3 0 3 0 0 0 0 3 3 6 0 6 3 3 6 3 6 3 0 3 6 0 0 3 0 3 6 3 6 0 3 6 6 6 3 6 3 0 3 6 6 3 6 0 3 6 0 3 0 6 0 0 3 3 3 6 6 3 6 0 6 6 0 6 3 6 6 6 0 0 0 generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+120x^127+348x^128+554x^129+684x^130+828x^131+1154x^132+1368x^133+1248x^134+2320x^135+2304x^136+1326x^137+2344x^138+1716x^139+1182x^140+1106x^141+510x^142+294x^143+24x^144+60x^145+90x^146+14x^147+30x^148+24x^149+4x^150+12x^151+6x^152+2x^159+4x^162+4x^165+2x^168 The gray image is a code over GF(3) with n=612, k=9 and d=381. This code was found by Heurico 1.16 in 1.96 seconds.