The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 2X 1 2X X 1 X 1 1 1 1 1 1 X 1 0 1 2X 1 1 1 1 1 1 1 2X 1 0 1 0 1 1 1 1 1 1 0 2X 2X 0 1 1 1 1 1 0 1 1 1 2X 0 1 2X 1 1 1 1 1 2X 1 1 1 1 1 0 1 0 0 0 0 2X+1 X 2 1 2X X+1 1 X+1 1 1 2X+1 1 0 X 2X+1 X+1 X+2 X+2 2X 2X+2 X 2X+2 1 2X+2 2 X+1 X+1 1 2X+2 2X 1 2X+1 1 X+2 1 X+2 2 2X 2X+2 0 2X+1 1 1 0 1 0 2X 0 2X+2 2X 1 2X+1 2X+1 2X+2 1 1 X 1 X+2 2X+1 X X 2X+2 1 2X+2 2X+2 2 X+1 0 0 0 1 0 0 0 2X+2 2X+1 2 2X 2X+1 X+2 X 1 X+2 X+1 X 1 X+2 2X+2 0 2X+1 2 2X 1 X+1 1 2 2 X 1 1 2X+2 X+2 X 1 X+2 2X+1 1 1 0 2 X+2 X 2X 1 X+2 X+1 1 1 0 2X+1 2X+1 X+2 2X+2 1 2X+2 X+1 X+1 0 X+2 2X+1 2X+2 2 2X+2 2X 2X+1 0 2 0 2 X X 2 0 0 0 0 1 1 2 2X+2 X+1 X 2X+2 2X+2 2X+1 1 2X 0 2 X 1 X 2 2X+2 2X+1 2 2X+2 2 X X+1 2X+1 X+2 X+1 2 1 0 2X+1 X 0 X+1 2X+2 2 X 1 2X+2 2X 2X+1 0 X+2 2X X+1 X 2 X 1 X X+1 2X+1 2X+2 1 0 0 2X+2 2X+2 X+1 2 2X+2 1 0 2X+1 2 X+2 X+1 X+2 2X X X 0 0 0 0 0 2X 0 0 0 0 0 X 2X 2X 2X X 2X X X 2X X 2X 0 2X X 0 X 2X 2X 0 0 X 2X X X 2X X 0 0 X X X 2X 0 0 0 2X 0 2X 0 2X 2X X 0 2X 2X 2X X X 0 0 0 0 2X X X 2X 0 X 0 X 0 X 0 2X 2X 0 0 0 0 0 X X 2X 0 X 0 0 0 X 2X 2X 2X X X 0 X X X 2X 2X 0 X 2X 0 0 X 2X 0 2X 0 0 0 2X 2X X 0 0 X X 2X 0 2X X X 0 X 2X 2X 2X X 2X X X X 2X 2X 2X X 0 2X 0 0 X X 0 2X 2X 0 X 2X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+120x^133+270x^134+422x^135+660x^136+930x^137+904x^138+1386x^139+1458x^140+1330x^141+2016x^142+2214x^143+1750x^144+2604x^145+3024x^146+1924x^147+3222x^148+3468x^149+2338x^150+3654x^151+3558x^152+2168x^153+3258x^154+2832x^155+2000x^156+2598x^157+2322x^158+1532x^159+1434x^160+1206x^161+572x^162+660x^163+396x^164+222x^165+192x^166+150x^167+82x^168+66x^169+42x^170+28x^171+20x^174+6x^177+4x^183+2x^186+2x^192+2x^195 The gray image is a linear code over GF(3) with n=225, k=10 and d=133. This code was found by Heurico 1.16 in 59.7 seconds.