The generator matrix 1 0 0 1 1 1 1 1 1 1 2X 0 1 1 1 1 0 X 2X 0 1 1 1 1 1 1 1 1 X X 0 1 1 1 1 X 1 1 X 1 2X 0 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 1 X 2X X 0 1 1 0 0 1 X 1 1 1 1 2X 1 1 1 1 1 X 1 X 1 1 2X 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 2 1 2X+1 X+2 1 1 2X+2 X+2 X 1 1 1 2X 1 2X+2 X 2X+2 2X+1 X+1 0 X+1 X+2 0 1 1 X 0 2X+2 2X+2 X 2X 2X+1 1 2 1 1 2X X+1 2X X+2 X+2 X+1 1 2 X 1 2X+2 2 1 1 2X 2X+1 1 0 1 1 2X+2 2X+1 0 1 2X+1 1 0 X 0 2X+1 X 0 2X+2 X 0 2X+2 0 2X+1 2X X+2 X+2 1 2X+1 2X+2 X 1 1 2 X+2 1 X+1 2X+1 2 0 0 0 1 1 2 2 X+2 X+1 2X 2X 2X+1 X+2 2X+1 X+2 1 2X+1 X 2 1 2X+1 1 X 2X X+2 X X+2 2X+1 0 1 2 X 2X+1 X+2 2X+2 X+1 1 2X 2 X X 2X+1 2 X+1 2X 1 X+2 1 X+2 1 2X+2 X X+1 2X+2 0 2X+1 X 2X+1 2X+1 X+1 1 1 2 2X+1 X 1 2X 2X+1 X+2 2X+2 1 2 X+2 1 2X+1 0 1 X+2 2X+2 1 1 1 X+1 X+1 2X+2 X+1 2X+1 X X+1 2X+2 2 2 X 1 X+1 X X 0 0 0 2X 0 0 0 2X 0 0 0 0 X 0 X X 0 0 0 0 2X 2X X X 0 2X 0 X X 2X X 2X X 2X X 2X 2X 2X X 0 2X X 2X X X X 2X 0 2X 2X X 2X X 0 0 X 0 2X 2X 0 0 X 2X X X 2X X 2X X X 0 2X X 2X 2X 0 0 X 2X 0 0 0 2X X 0 0 X 0 X 0 0 2X X X X 0 0 0 0 0 X 0 2X 0 0 2X 2X 0 X X 2X 2X 2X X X X 2X X 0 2X 2X 0 2X X X 0 2X X X 0 2X 0 X 2X 0 X X 0 0 X 0 0 2X X 2X X X X 2X 0 0 X 0 0 X 0 0 X X 0 0 2X 0 X X X 2X 2X X 2X X 2X 0 2X X X 0 X 2X 0 X X 0 0 2X 0 2X 2X 0 X 2X 0 0 0 0 0 0 2X X 0 0 X 0 2X 2X 0 X X X 2X 0 X X 0 2X 0 0 2X X X 2X 2X 2X X X X 0 2X X 0 X 2X 2X X X 2X 2X X 0 2X X 0 2X 0 X X 0 0 X X X X 2X 0 0 2X 0 0 X 2X 0 X 2X 2X 0 X 2X 0 2X 0 2X 2X 2X 2X 2X 0 0 0 0 X 2X 0 0 X X 0 X X generates a code of length 96 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+404x^177+1264x^180+2068x^183+2510x^186+2646x^189+2690x^192+2434x^195+2022x^198+1634x^201+1044x^204+598x^207+242x^210+78x^213+24x^216+4x^219+8x^222+4x^225+4x^228+2x^234+2x^249 The gray image is a linear code over GF(3) with n=288, k=9 and d=177. This code was found by Heurico 1.16 in 10.8 seconds.