The generator matrix 1 0 1 1 1 1 1 X+3 1 2X 1 1 1 1 0 1 1 X+3 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 2X 1 1 1 1 X+3 1 2X 1 1 1 2X 1 0 1 1 0 1 X+3 1 1 6 1 X+3 1 1 1 1 1 1 1 1 1 1 X+6 1 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 4 1 2X 2X+8 8 0 1 2X+4 X+2 1 X+1 X+3 1 4 2X 2X+8 X+1 8 X+3 2X+8 1 4 X+2 0 1 2X+4 2X 5 4 1 X+3 1 2X+4 8 X+2 1 2X 1 X+5 X+1 1 X+1 1 X+2 8 1 0 1 5 X+5 X+2 X+5 2X+8 0 2X 2X+6 2X+8 2X+7 1 2X+5 2X+4 X+3 8 0 0 3 0 0 0 3 3 6 3 3 0 6 0 6 6 6 0 3 0 0 6 3 0 6 6 3 6 0 6 6 0 6 6 6 0 6 6 0 3 0 6 6 6 0 3 0 0 0 6 6 6 3 3 3 6 0 3 0 6 6 3 6 6 3 3 6 0 6 6 3 0 0 0 6 0 0 3 3 0 6 0 6 0 6 3 3 0 3 0 3 6 6 3 6 3 6 3 3 6 6 6 0 3 6 0 0 6 0 6 0 6 6 6 0 0 6 3 0 3 6 0 3 3 0 3 0 6 0 3 6 0 0 6 0 0 3 3 3 6 0 3 0 0 0 0 3 0 6 3 3 3 3 3 6 3 0 0 0 3 6 0 6 3 3 0 3 3 0 3 3 6 0 6 6 0 3 3 6 6 6 6 6 3 6 0 0 0 6 6 3 0 0 6 6 0 0 0 6 3 3 6 0 6 3 6 0 0 0 6 3 3 3 0 0 0 0 0 6 0 3 3 6 0 6 6 0 0 6 6 3 6 6 3 6 3 3 6 3 0 0 6 0 0 3 0 6 0 3 3 3 6 0 3 0 6 0 3 3 0 0 6 3 6 3 3 3 6 3 3 3 3 3 0 6 3 3 3 0 6 0 0 3 0 generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+108x^129+18x^130+72x^131+524x^132+870x^133+198x^134+1580x^135+2202x^136+648x^137+3846x^138+6054x^139+1512x^140+7598x^141+8412x^142+2016x^143+7734x^144+7440x^145+1116x^146+3288x^147+2454x^148+198x^149+514x^150+222x^151+54x^152+162x^153+24x^154+18x^155+64x^156+6x^157+28x^159+24x^162+16x^165+10x^168+12x^171+4x^174+2x^177 The gray image is a code over GF(3) with n=639, k=10 and d=387. This code was found by Heurico 1.16 in 11.7 seconds.