The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 1 1 0 1 0 X 1 2X 1 1 1 1 1 2X 1 1 0 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 0 2X 1 X 2X 1 1 1 1 1 0 0 2X 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 2 1 2X+1 2X+2 2 1 1 2X+1 0 X+1 0 X+2 X X 1 1 X+2 1 X+2 2X+1 X 2X+2 2X+1 2X 2X 1 1 1 2X 1 2X+1 0 X+2 2 2X+1 X X X+2 1 0 2 2X+1 2 1 X+1 2 X X 2X 1 2 X+1 2X+2 2X+1 X+1 1 1 2X+2 2X 1 0 X 2X+2 1 2X+1 1 2X X 2X 2 X+1 1 1 2X+1 X+2 X+2 0 X+1 0 0 1 1 2 2 2 1 2X 2X+1 0 2 2X+1 2X X+2 2X+1 X+1 X+2 1 0 X 2 2X 1 1 X+2 X 0 X 1 2 2 2X+2 2X X+1 2X+1 X+2 2 X 2X+2 2X X+1 0 1 X+1 X+2 1 1 1 1 X+1 X+2 X+2 X X 0 1 X+1 0 0 2 2X+2 X+2 2 1 X 2X+2 X+2 X+1 X+1 X+1 X+1 1 1 1 2X+1 X+1 2X+2 X X+1 2X+1 2X 2X X+2 0 0 0 2X 0 0 0 0 0 0 2X X 2X X X X 0 X 2X X 2X 0 X 2X 0 0 2X 0 0 X 2X 0 X X X X X X 0 X 2X X X 2X X 2X 0 X X 2X X 2X 0 X 0 2X X 2X X 0 X 0 0 0 0 X 0 0 X 2X 2X 2X 0 0 2X 2X X X X 2X 2X 0 X 2X 0 0 0 0 X 0 X 2X 2X 0 0 0 2X X 0 X 2X 0 X 2X X X X X X X 0 X X 2X X 0 X 0 0 2X 2X 2X 0 0 2X 2X X 2X X X X 0 X X 2X 0 2X 2X X X 2X 0 2X 2X 0 2X 0 X X 0 2X 0 X 2X X 2X 2X X 0 0 0 0 X 2X X X 0 2X 0 0 0 0 0 2X X X 0 X X X X 2X X 0 2X 0 X X 2X 0 0 0 X X 2X 0 2X X X X X 0 0 2X X 2X 2X 2X 0 0 0 0 X 2X 0 X X 2X X 0 2X 2X 0 X 2X 2X 0 2X 2X X X 2X 2X X 0 2X 0 2X X 0 2X X 2X 0 2X 2X X X 2X X X 0 generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 153. Homogenous weight enumerator: w(x)=1x^0+176x^153+126x^154+186x^155+690x^156+318x^157+372x^158+1124x^159+456x^160+516x^161+1508x^162+558x^163+648x^164+1234x^165+564x^166+570x^167+1542x^168+660x^169+708x^170+1530x^171+726x^172+498x^173+1250x^174+444x^175+420x^176+970x^177+324x^178+288x^179+500x^180+102x^181+126x^182+258x^183+78x^184+42x^185+74x^186+18x^187+34x^189+18x^192+16x^195+4x^198+2x^201+4x^210 The gray image is a linear code over GF(3) with n=252, k=9 and d=153. This code was found by Heurico 1.16 in 8.47 seconds.