The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 1 1 X 1 1 1 1 1 1 1 1 X X 1 1 1 1 X X 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X 2X 2X X X X 0 X X X 2X 0 0 2X X X 2X 0 2X 0 X X X 2X 0 0 0 2X X 0 2X X 0 0 0 X X 2X X 0 X 2X 0 2X 2X 0 X X 2X 0 X 2X X X X 2X 2X 0 2X X X 0 0 0 2X X X 2X X 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X 2X 0 X X 2X 2X 2X 2X 2X 2X X 2X 0 X 2X 0 2X 0 X X 0 2X 0 X X 0 0 X X 2X 0 0 X 2X X X 0 0 0 2X 2X 0 2X 0 X 2X 2X 2X 2X 2X 2X 2X 0 X 2X 2X X 0 0 2X 0 X 0 X 2X 0 X 2X X 0 2X 0 X 2X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 0 X X 0 2X X 0 0 0 X X X 2X 2X 2X 0 X 0 0 2X 2X 0 2X X X 0 0 X X 2X 2X 0 0 X 0 0 X X 2X 2X X X 0 2X 2X X 0 X X X 0 0 2X 0 X X 0 2X 0 0 2X 2X 2X 2X X 2X 0 X 0 0 2X 2X 0 X 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X 2X X 0 0 0 X 0 0 2X X X X 0 0 2X 0 2X 2X 2X 0 2X X X 2X 0 X X 2X X 0 2X 2X X X X 0 2X 0 0 0 X 0 0 2X 2X 2X 0 X 0 X X X 0 X X 0 0 0 X X X 2X 0 2X 2X X 0 0 X 2X 0 2X 2X 2X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 0 2X X X 2X 2X X 0 0 2X 2X 2X 2X 0 0 2X X 0 2X 0 2X X 2X 0 X X 2X X 0 0 2X 2X 0 X X X 0 X X 0 0 X 0 2X 0 X 0 0 2X 0 2X 2X X 2X X 2X 2X 0 0 0 0 0 X 2X X 2X X X 2X 2X 0 X 0 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X X X X X 2X 0 0 X 2X 0 X 2X 2X X X 2X 2X 0 X 2X X 0 X 0 0 X 2X X X X X 0 X X 0 2X 2X 0 2X 2X 2X 0 0 0 X 2X X 2X 0 0 X 2X 2X X X X X 0 2X 2X X X 0 2X 0 2X 2X 2X 0 0 X 2X 2X 2X generates a code of length 97 over Z3[X]/(X^2) who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+46x^174+134x^177+228x^180+220x^183+422x^186+758x^189+1258x^192+1516x^195+1086x^198+326x^201+120x^204+92x^207+80x^210+80x^213+50x^216+54x^219+42x^222+22x^225+10x^228+8x^231+2x^234+4x^237+2x^270 The gray image is a linear code over GF(3) with n=291, k=8 and d=174. This code was found by Heurico 1.16 in 2.13 seconds.