The generator matrix 1 0 1 1 1 1 1 X+3 1 1 2X 1 1 1 0 1 X+3 1 1 1 1 1 1 2X 1 1 1 2X 1 X+3 1 1 1 1 0 1 1 1 1 1 0 2X 1 1 1 1 2X+6 1 1 1 X+6 1 1 1 1 1 X+3 1 1 1 6 1 1 1 1 1 1 1 X+6 2X+6 1 1 1 0 1 2X+4 8 X+3 X+1 X+2 1 2X+8 2X 1 4 2X+4 8 1 4 1 X+2 0 2X+8 X+3 2X X+1 1 8 0 2X+8 1 X+1 1 2X+4 4 X+3 X+2 1 5 4 0 2X+8 2X 1 1 2X+4 2X 6 X+2 1 3 X+3 2X+6 1 8 2X+5 2X+5 5 0 1 7 1 X+1 1 2X+3 2X+7 2X+4 2X+1 2X+3 X+7 2X 1 1 2X+6 6 4 0 0 3 0 0 0 3 3 6 6 3 3 6 6 6 0 6 3 6 0 0 0 0 6 6 6 3 0 6 0 3 6 6 0 3 0 6 6 3 0 3 0 3 0 3 0 6 3 3 6 3 0 6 6 6 3 6 0 3 0 0 0 6 6 0 6 3 0 3 0 3 6 0 0 0 0 6 0 6 3 6 6 3 0 6 3 6 0 0 3 3 3 6 3 6 0 3 0 3 0 3 3 6 3 6 0 0 3 3 0 6 6 3 0 0 0 6 6 3 6 0 6 0 3 3 0 6 3 0 6 0 3 6 3 3 0 6 6 6 6 3 3 0 3 6 6 0 0 0 0 3 3 6 0 6 3 3 6 6 3 6 6 0 0 0 6 0 3 0 3 0 6 3 0 0 6 0 6 3 3 3 3 3 0 3 6 6 3 3 6 6 0 0 0 0 0 6 6 6 3 0 3 6 3 3 0 3 0 0 0 6 3 3 3 0 6 3 6 3 generates a code of length 73 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+126x^137+304x^138+408x^139+948x^140+1058x^141+900x^142+1620x^143+1678x^144+1182x^145+2172x^146+2234x^147+1554x^148+2070x^149+1382x^150+714x^151+756x^152+258x^153+60x^154+42x^155+86x^156+36x^157+24x^158+18x^159+6x^160+18x^161+14x^162+4x^165+4x^168+2x^171+4x^177 The gray image is a code over GF(3) with n=657, k=9 and d=411. This code was found by Heurico 1.16 in 1.59 seconds.