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 1 0 1 1 0 1 1 1 1 1 X 2X 1 0 1 1 2X X 1 1 1 1 1 1 1 1 2X 1 1 X 1 1 1 X 0 1 1 1 2X 1 2X 1 1 1 1 1 1 1 1 0 1 X 0 1 1 1 1 2X X 2X 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 0 2 1 2 2 0 X+1 0 1 1 2X+1 1 2X+2 2X+1 1 1 2 0 2X+1 1 2X+2 1 X X+1 2X 2X X 1 1 2 0 X 1 2X+2 1 2X+2 1 2X+2 1 2X+1 2X+1 1 1 2X+1 2 0 X+2 1 X+2 1 1 2X+1 X+1 X+2 X+2 1 1 1 2X+2 0 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 2X+2 X+1 2 2X+2 X 1 2 0 1 X+1 X+1 2X+2 2 2X+1 2X+1 2X 2X X+2 2X+2 0 2X X X+2 X X+1 2X+1 0 2 X+2 2X 2X X X+1 1 X 0 2X+1 0 1 2X+1 2 1 X 2X+1 2X X 2X+1 X+1 2X+1 2 2X+2 X+2 2X+1 X 2X+2 1 2X+1 2X+2 X 2X 2X+1 X 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 1 1 2X+2 2 2X+1 2X+1 2X+2 2X+2 2 X+1 2X+1 2X X X+2 0 2 2X 0 X X+2 X+2 0 X 0 X 1 2X+1 2X+2 2X+1 X+1 2X+2 1 0 2X X+2 X 2X 1 X X+2 1 1 X+1 1 2X+1 X+2 X 2 X X+1 2X+2 X X+2 2X+1 2X+2 2 0 2 2X 2X+1 2X 0 0 0 0 2X 0 2X 2X X 0 X 0 2X X X 2X X X 2X 2X 2X 0 2X 2X 0 X X 0 0 0 0 0 0 0 X X X 2X 0 2X 2X 2X X X 2X 2X X X 0 0 X 0 0 X 2X 0 2X 0 X X 0 2X 2X 0 0 0 2X X 2X X 0 2X X 0 2X 0 X 2X X X 2X 0 X 0 0 0 0 0 0 X X 0 2X 2X 2X 0 X X X 2X 0 0 2X 2X 2X X 2X X X X X 2X X 2X 0 X 0 2X 0 0 0 X 0 X 0 2X 0 X 2X 0 X 2X X 2X 0 2X X 2X 0 X 2X 2X X X 2X X 0 X 2X 2X 0 X X 0 0 2X 0 X 0 X X 0 2X 2X 0 2X X 2X generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+126x^150+132x^151+276x^152+838x^153+420x^154+642x^155+1864x^156+888x^157+876x^158+2922x^159+1308x^160+1452x^161+3672x^162+1596x^163+1740x^164+4562x^165+1758x^166+1872x^167+4716x^168+1992x^169+1818x^170+4686x^171+1842x^172+1758x^173+3864x^174+1428x^175+1260x^176+2950x^177+1062x^178+894x^179+1638x^180+462x^181+342x^182+662x^183+192x^184+150x^185+200x^186+42x^187+42x^188+62x^189+28x^192+8x^195+4x^204+2x^207 The gray image is a linear code over GF(3) with n=252, k=10 and d=150. This code was found by Heurico 1.16 in 68.9 seconds.