The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 0 1 1 1 1 X 0 1 1 1 1 1 1 X 1 1 2X 1 2X 1 0 1 2X 1 1 2X 1 0 1 0 1 2X X 1 1 1 1 1 0 1 1 1 1 X 1 1 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 0 2X 1 1 1 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 2X 1 1 0 1 0 X+2 2X+2 2X+1 1 2 2X X+1 X+2 1 1 2X+2 X+1 X+2 2X 2X+1 X+1 X 2X+2 X+1 1 X+1 1 2X+1 1 0 1 2 X 1 1 1 2 0 2X 1 1 2X 0 2X 2 X+2 2X X 2 2X+2 1 1 X+1 X+2 1 1 X+1 0 2X X+2 2X+2 0 2X+2 2X+2 2X 1 1 X+2 X 0 1 X+2 0 X+1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 2X+1 1 2X+1 X+1 X+2 1 2X+2 2X 2X X 2X+1 2X+2 2X+2 0 X+2 1 X+2 2X+1 2X+2 2X X+2 2X+1 1 X+1 X X+2 X+1 0 X 2X X+2 X+1 X+1 0 2X+1 X+1 X 2X+2 1 X+1 2 2X+2 0 1 2X+1 0 X+2 1 X+2 2X+1 1 0 X 2X+2 2X+1 X+2 2 2 2X+1 2X+2 X+2 X X+1 2X X 1 2X 2 2X 2 1 1 1 2X 2 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 2X 0 0 0 X X X X 0 0 0 X 0 2X 2X 2X 0 2X 2X 0 X X X X 2X X 0 2X 0 X 0 0 X 0 X X X 0 X 2X 0 X X X 0 0 0 0 X X 0 2X X X 0 X 2X 0 0 2X 2X 2X X 2X X 0 2X 2X 0 2X 2X 2X 0 0 X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 189. Homogenous weight enumerator: w(x)=1x^0+448x^189+570x^192+360x^195+304x^198+162x^201+66x^204+110x^207+84x^210+24x^213+44x^216+12x^219+2x^234 The gray image is a linear code over GF(3) with n=294, k=7 and d=189. This code was found by Heurico 1.16 in 0.247 seconds.