The generator matrix 1 0 0 1 1 1 1 1 1 1 2X 0 1 1 X 1 2X 1 1 1 1 0 2X 1 1 1 1 0 0 2X 1 1 2X 1 1 1 1 1 1 X 1 1 1 2X 1 1 2X 1 1 1 1 1 1 2X 1 1 1 1 2X 1 0 1 1 1 1 X X 1 1 X X 0 1 0 1 1 0 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 0 1 0 0 0 1 2 1 2X+1 X+2 1 1 2X+2 2 2X X 1 2X+1 2X+1 2X+2 1 1 1 X+2 2X 2X X+1 1 1 0 0 2X+2 1 X+2 1 X+2 X+1 0 0 1 2X 2X+1 2 1 2X 2X+1 1 2 2X 2X+2 2X X 2 X 0 2X+1 2 0 1 2X+1 0 2X+1 2X 2X+2 1 0 1 X X+2 1 1 1 X+2 1 2X X 2X 2X+1 0 2X+2 X+2 X+2 2X+2 X+2 X X+2 X X 2X+1 2X X 2 2X+1 0 0 1 1 2 2 X+2 X+1 2X 2X 2X+1 X+2 2X+1 X+2 1 X+1 X+2 2X 1 0 2X+2 X+1 X 1 2 X 2X+2 X X+1 1 2 2X+1 2 2X 2X+1 2X+2 X 0 1 2X+2 X+1 1 2 2X 0 0 X+1 2X+2 2 X 0 2X 2 1 1 1 1 2X+1 X+1 0 1 2X+2 X+2 2X+1 2X 1 X+1 X+1 2X+1 2 X 2X+2 2 2 0 2X+2 1 X+1 1 1 2X+1 2X+1 1 2X+2 X 2X+2 1 1 X 2X+2 X+1 2X+2 2X+2 0 0 0 2X 0 0 0 2X 0 0 0 0 X 2X X X X X X X 2X 2X X 2X 2X X X 2X 2X X 2X 2X 2X 2X X X X 2X 2X X 2X 2X 2X 2X 2X 0 2X 2X 0 X X 0 X 0 0 2X 0 0 X 2X 0 0 X 2X X 2X 0 X X X 0 X 0 0 0 X 0 0 X X 2X 0 0 2X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 2X 0 0 2X 2X 0 X X 0 X X 2X X 2X 0 0 0 X 2X 0 2X 0 X 0 X 0 X 2X 2X 0 X X 2X X 0 2X X 2X 0 0 X 2X 2X 0 0 0 2X 0 2X X X X 0 X X X X 2X 2X 2X 0 0 0 2X 2X 2X X X 2X 2X 2X 0 X 2X 2X 2X X 0 2X 0 0 2X 2X X 0 0 X 0 0 0 0 0 2X X 0 0 X 0 2X 2X 2X 0 0 X 0 0 X X 2X X 2X X 2X 0 0 2X X X 2X 0 0 2X 2X X 2X 0 2X 2X 2X 0 2X 0 2X X 2X 2X X 0 2X 2X 2X 2X 0 0 X 0 X 0 X 0 2X X X 2X 2X X X X 2X X 0 2X 2X X 0 2X X X 2X 2X 2X 0 X X 0 X 2X X 2X 0 generates a code of length 93 over Z3[X]/(X^2) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+400x^171+1236x^174+1984x^177+2600x^180+2576x^183+2716x^186+2442x^189+2264x^192+1532x^195+1016x^198+614x^201+198x^204+54x^207+18x^210+12x^213+10x^216+6x^219+2x^222+2x^225 The gray image is a linear code over GF(3) with n=279, k=9 and d=171. This code was found by Heurico 1.16 in 10 seconds.