The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X+6 3 1 1 1 1 1 X 1 X+6 1 1 1 6 2X 1 3 1 1 1 1 1 1 X+3 1 2X+6 X+3 3 1 1 1 1 1 1 1 1 1 1 1 1 X+6 X+3 1 1 0 2X+3 1 X 1 1 X 1 1 1 6 2X X 3 1 1 1 1 0 1 0 0 3 2X+7 8 1 2X+4 2X+5 2 1 1 X+6 2X+1 X+1 2X+1 X+5 1 2X+6 1 5 X+6 8 1 3 X+4 1 2X X+6 2X+3 X+2 2X+8 7 1 2X+2 2X+3 1 1 3 1 2X X+4 2X+2 2 6 7 2X+8 2X+4 X X 1 2X+6 8 X+1 1 1 X+5 1 X+6 X+7 X+6 X+2 2 3 1 1 X+3 1 3 2X+8 2X+7 6 0 0 1 2X+7 5 2X+5 8 1 0 7 2X+6 2X+7 5 2X X+2 3 2X+4 2X+6 X+3 7 X+5 X+5 2X+2 X+1 X+4 1 2X 2X+7 X+4 6 2X+5 1 X X+7 0 5 1 8 2X+5 X+5 2X+6 0 2X+2 2X+6 X+1 X+4 3 X+3 5 2 2X+1 1 1 1 5 2X+2 2X+6 2X+8 2X+4 2 2X+5 1 X+4 2X+7 X+1 2X+6 X 1 7 8 7 2X+3 X+6 0 0 0 6 6 6 6 6 6 6 6 0 0 6 3 3 0 0 6 3 3 0 0 0 6 3 0 3 0 3 3 3 3 3 3 3 6 6 0 3 3 0 6 0 3 0 0 6 3 6 3 0 3 6 0 6 6 3 0 0 3 6 6 0 6 3 6 0 3 0 3 6 3 generates a code of length 73 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+354x^137+500x^138+1842x^139+2454x^140+3218x^141+3972x^142+4740x^143+4340x^144+5664x^145+5928x^146+4478x^147+5274x^148+4860x^149+3126x^150+3240x^151+1950x^152+1338x^153+810x^154+534x^155+240x^156+48x^157+48x^158+10x^159+42x^160+24x^161+6x^163+6x^164+2x^165 The gray image is a code over GF(3) with n=657, k=10 and d=411. This code was found by Heurico 1.16 in 9.28 seconds.