The generator matrix 1 0 0 0 1 1 1 2X 1 1 1 1 1 2X 1 1 0 1 1 0 2X 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 1 2X X X 0 2X 2X 1 1 1 1 1 X 1 1 1 1 1 0 1 2X X 1 0 X 2X 1 1 1 1 1 1 2X 1 1 1 1 1 0 1 0 0 0 1 2X+1 1 0 X 2X+2 2X+2 X+2 X 2X+1 2 1 X X 2X 1 X+2 1 1 1 X 2 1 1 2X+2 X+2 0 1 0 X+1 2X+1 1 2 2X+2 1 2X 1 1 X 1 1 X X X X+2 0 2 X 2 X+2 X 2X 2X+1 1 X 2X 1 2X 1 2 2X X+2 2 X 2X+1 1 X+2 2X+1 2X X+1 2X 0 0 1 0 1 1 2X+2 2X+1 X+1 2X+2 2X X+1 0 1 X+1 1 0 2X X+2 1 X+2 0 X+2 2X+2 2 2 2X+1 X 0 2 2 2X+1 X X X 1 2X+1 X+1 X+2 X 1 X+2 2 1 2X+2 X+2 2 0 2X X+1 1 X 2X+2 1 X+1 2X+1 1 X+1 X+2 1 X+2 1 2X 1 X+2 2X 0 2X 2 X+2 2 0 X+1 X X 2X+1 0 0 0 1 2 0 2X+2 2X+2 2X+1 2X X+1 2X 2 X+1 1 2 1 1 2X+2 2X+2 X+2 0 1 X+1 0 1 2X+1 2X+1 2X+2 2X+1 X 0 2X+2 2 2X 2X+2 2X+1 0 2X+2 2X+2 2X+1 X X 2 2X+1 X X 2 1 1 2X X 2X+2 2 2X+2 X+2 2X+2 2X+1 X+1 2X+1 X+1 X+2 1 X 2X+2 0 X+2 1 2X+2 X 2X 2 2 2 2 2 0 0 0 0 2X 0 2X 2X X 0 X 0 2X X X 2X X X 2X 2X 2X 0 0 2X X 2X 0 2X X 0 X 2X 0 0 2X X 2X 2X 0 0 2X 2X X 0 0 2X 0 0 2X 2X 0 2X X 0 X X X 2X 2X 0 2X X X 2X 0 2X X 0 0 0 0 0 2X X 0 X 0 0 0 0 0 X X 0 2X 2X 2X 0 X X X 2X 0 0 2X 2X 2X X X 2X 2X X X X X 0 2X X 0 X 2X 0 X 2X 0 2X 0 2X X 2X 2X 0 X 2X 2X 0 X 2X 2X 0 0 X 2X X 0 2X 0 0 X X 2X X 2X 0 0 2X X 0 2X X 2X 0 generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 135. Homogenous weight enumerator: w(x)=1x^0+204x^135+252x^136+216x^137+974x^138+546x^139+774x^140+2154x^141+1032x^142+1134x^143+3174x^144+1326x^145+1506x^146+3826x^147+1656x^148+1824x^149+4758x^150+1782x^151+1998x^152+5408x^153+2292x^154+2046x^155+4740x^156+1644x^157+1656x^158+3766x^159+1356x^160+1110x^161+2408x^162+804x^163+600x^164+908x^165+258x^166+228x^167+380x^168+150x^169+24x^170+58x^171+24x^172+6x^173+24x^174+8x^177+4x^180+4x^183+4x^186+2x^198 The gray image is a linear code over GF(3) with n=228, k=10 and d=135. This code was found by Heurico 1.16 in 60.9 seconds.