The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 0 1 2X 1 0 1 2X 1 1 1 1 1 1 1 X 1 0 1 1 2X X 1 1 1 1 1 1 1 1 1 1 1 1 2X X X 1 X 1 1 1 1 1 1 X X 0 2X 1 1 2X 1 2X 1 1 1 1 1 2X X 1 0 1 1 0 1 0 0 0 1 1 2 2X+2 1 2X+1 1 2 1 X 0 X+2 1 1 X+1 X+2 X+1 X+2 0 2X 1 X+1 1 X+1 X+2 1 2X X X+1 X+1 X+2 1 0 2X+2 2 2X X+2 0 2X+2 0 1 1 2 1 X+2 X+1 2X 1 2X 2X+2 1 1 1 1 1 2X+2 1 X+1 1 0 X+1 2X+2 X+2 2X+2 2X 1 0 1 2X+2 1 0 0 1 1 2 2 1 0 2X+1 2X+1 2X 2 2 2X+1 X+2 1 2X+2 0 X+1 0 2X+1 2 2X 2X 2X+1 2X+2 1 0 2X+2 X+2 1 1 2 X X+2 X+1 0 2X X X+2 2X+1 2X 1 2X+1 1 2X+1 2X+2 1 X X 2X+1 2 0 X X+1 X+2 0 X+1 X+2 2X+2 2 2X 0 0 1 X+1 0 0 0 1 1 X+2 X X+1 X+1 0 0 0 2X 0 0 0 0 2X 2X 2X 0 0 X 0 2X 2X 0 0 2X 2X 0 0 2X X X 2X 2X X X X X X 2X X 2X 2X 0 2X 2X 2X X 0 X 0 0 X 0 0 2X X X X 2X 2X 2X 2X 2X 0 2X X 2X 2X 2X X 0 0 2X X 0 X X X 0 2X 0 0 0 0 X 0 0 X 2X 0 X X X 2X X 2X 0 2X X 2X 0 X 2X 0 X 2X 2X X 0 X 0 0 2X 2X X X 2X 0 X 2X 2X 2X 2X 2X 0 X 2X 0 0 0 X 2X 0 2X 0 X 2X 0 0 X X X 2X X 2X 2X 0 2X 2X X 0 0 0 2X X 0 0 0 0 0 2X 0 2X 2X 2X 0 X X 2X 2X X X 2X X X 0 0 0 0 X X 0 2X X X 2X 0 0 X 0 2X 0 2X X 2X X 2X 0 2X X 0 X X 0 0 0 0 X X X 2X X 2X X 2X X X 2X 2X X X X 0 2X 2X X 2X X 0 X 0 0 0 0 0 0 X 2X 0 X 0 2X X 2X X 2X 2X X 0 2X 2X 2X X X 0 X 2X 2X 0 0 2X 2X 2X X 0 X X 2X X 2X X 0 X X 2X X 2X X 2X 0 2X X 2X 0 0 2X 0 0 0 0 X 2X 2X X X 2X 0 0 2X X X X 0 0 X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+216x^132+72x^133+222x^134+692x^135+324x^136+576x^137+1742x^138+768x^139+936x^140+2574x^141+1212x^142+1302x^143+3694x^144+1620x^145+1668x^146+4408x^147+1944x^148+2010x^149+5096x^150+2094x^151+1974x^152+5512x^153+2358x^154+1992x^155+4234x^156+1476x^157+1362x^158+2610x^159+870x^160+690x^161+1264x^162+288x^163+300x^164+468x^165+78x^166+66x^167+132x^168+18x^169+24x^170+78x^171+46x^174+10x^177+18x^180+10x^183 The gray image is a linear code over GF(3) with n=225, k=10 and d=132. This code was found by Heurico 1.16 in 89.4 seconds.