The generator matrix 1 0 0 0 1 1 1 1 1 1 2X 1 1 1 X 1 X 1 X 1 1 1 0 1 1 2X 0 2X 1 1 1 X 1 1 1 0 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 2X X 2X 1 1 1 1 1 1 1 X 1 2X 1 0 1 1 1 1 1 1 1 1 0 1 X X X 1 1 1 X 0 2X 1 1 1 1 1 2X 1 X 1 1 1 0 1 0 0 0 0 2X+1 1 2X+2 2X+1 1 1 X 2X 1 2X+1 1 1 0 X 2 2 1 X+2 X 1 1 1 2X+2 X+1 X 1 2X+2 2X+1 2X+2 1 1 1 2 0 X+2 X+2 1 X+1 2 1 X 2X+1 2 X+1 2X+1 1 2X 1 X 2X X+2 2 1 2X+2 2X+2 1 2X 1 2X+1 1 X+2 2X 2 2X 0 X 0 X+1 1 2 1 1 1 2X+1 X+2 X 1 0 1 2X X+1 2 2X+1 2X+1 1 0 1 2X+2 X 2X+1 0 0 1 0 1 0 2X 2 2X+1 X+2 2X+2 1 2 X+2 2 2X 0 2X+1 1 2X+2 X 2X+1 2X+2 2X+2 1 0 X+1 X+1 2X+2 2X+2 0 X+1 X+2 X 2X 2X+1 2 2X+2 2X 2X+2 1 X+2 2X+1 1 X 2 2X+1 2X 1 X 2X+2 2 1 X X 1 0 2 2X+2 X X+1 X+2 2 2 X 2X X 2X+1 2 2 1 2 2 2X 0 X+1 2X X+2 2X+1 1 2X+1 X 2X 1 X+2 2 0 2X+1 X+2 X+2 1 2X+1 0 0 X 2X 0 0 0 1 2 1 2X+2 2X+1 X 0 2X+1 X+2 2 X 2X+2 0 X+1 1 1 2X+1 2X+2 X+1 2X 0 2X 2 2X+2 0 X+1 2X+2 2X+2 X+1 2 X+1 2X+1 2 X 2X+1 2X 2X+2 2X+2 2X+1 0 1 2X X+2 X+1 2X 2 2X+1 2X X+1 2X+2 X+2 0 0 2X+1 X X+1 X+2 0 0 2X+2 0 2 X X 2X+1 2 2X 1 1 2X+1 X 0 2X+2 2X+2 2X+2 X+2 X 1 X+2 2X X 0 2X+2 2X+2 X+1 2 X+2 0 0 0 1 2X+2 X 0 0 0 0 2X 0 2X 0 X X 0 X X 0 2X 0 X 2X X 2X X 0 X 0 X 2X X X X X 0 2X 0 2X 0 0 0 X 2X 0 2X 2X 2X 0 2X X X X X X 2X 2X 0 2X X X 2X X 0 X 2X 0 0 2X 2X X 0 0 0 X 2X X X 0 0 2X 0 2X 2X 0 2X 2X X 2X 2X 2X 2X 2X 2X 0 2X 0 X X 0 0 0 0 0 0 0 2X 0 2X X X 0 X X 2X X 2X 2X 0 2X 0 X 2X 2X 2X 0 2X 0 0 2X 0 0 0 0 X X X 2X 0 2X 0 X 2X X 0 X X 0 0 2X 0 X 2X 2X 0 X 2X 0 2X X 0 X X X 0 2X 0 X 2X X 0 2X 2X 0 0 X 2X 0 0 X X 0 X 2X X X X X 0 2X X 2X 0 X 0 0 2X generates a code of length 96 over Z3[X]/(X^2) who´s minimum homogenous weight is 174. Homogenous weight enumerator: w(x)=1x^0+536x^174+1996x^177+3828x^180+4854x^183+6348x^186+7560x^189+8274x^192+7894x^195+6994x^198+5246x^201+3094x^204+1532x^207+674x^210+150x^213+30x^216+14x^219+8x^222+6x^225+4x^228+4x^231+2x^234 The gray image is a linear code over GF(3) with n=288, k=10 and d=174. This code was found by Heurico 1.16 in 81.9 seconds.