The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 X 1 1 0 1 1 1 0 1 1 1 1 1 1 X 1 1 1 0 1 1 1 1 2X 1 1 1 1 1 X 1 1 2X 0 1 0 1 1 X 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 1 1 1 1 1 1 1 1 2X X 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 X+2 2X+1 0 1 X+1 1 0 2 1 2X+2 0 2X+1 1 2X+1 0 2 X X+1 2X+2 1 2X X+1 2 1 X+1 X 2 2X+2 1 2X+1 2X+2 2X 2X+2 X+2 1 X+2 0 1 1 2X 1 2X+2 X 1 X+1 0 X 2X 2 2 0 1 X+2 1 X+1 X+2 X X+1 X+2 X+1 2X 1 X+2 2 1 X+1 X+2 1 2X+2 2X+1 0 2X 1 2X 2X X+1 X+1 2X+1 2 1 2X 1 1 X+1 2 2 2X 2 2 X 0 0 2X 0 0 0 0 0 0 0 0 2X X X 0 X 2X 2X 2X X 2X X X X 2X 2X 2X X 2X X 2X 2X 0 2X 2X X 0 2X X 2X 2X 2X X 0 X 2X X 0 0 X 2X 2X 2X X X 2X 0 0 X 2X X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 2X 0 2X X X X 0 0 0 2X 0 0 0 0 0 2X 0 X X X 2X 2X 0 2X X 0 0 0 X 0 0 0 X 2X 2X 0 X 2X 0 X 2X 2X X 0 0 2X 0 2X 0 2X 2X 2X X 0 0 2X X 2X 0 2X 2X X 0 X X X X X 0 X 2X X 0 2X 0 2X 0 X 0 2X 2X 2X 2X X 0 0 2X X X 2X 2X 2X X 2X 2X X 0 0 2X 2X X X X X X 2X 2X X X 0 2X X 2X 2X 0 2X X X X 0 2X 2X 0 0 0 0 0 X 0 X X 2X X X X X 0 2X 2X 0 0 2X 2X X X 0 0 0 2X 0 X X 0 2X 2X X 2X X 0 2X X 2X X 0 X 2X 2X X X X 0 2X X X 2X X 2X X 2X 2X X 0 2X 0 0 2X 0 0 X 0 X X 2X 2X X 0 0 0 0 X 0 0 X X 2X 2X 2X 2X 2X 2X 0 X 0 2X X X 0 2X 2X X 0 0 0 0 0 0 2X 2X 0 X 2X X 0 X 0 0 2X 2X 2X 0 X X 2X X X 0 0 2X 0 0 2X X 0 0 X 2X 2X X 2X X X X 0 0 0 2X 2X 2X X X X 0 X 0 2X 0 X 2X X X 0 0 0 0 2X X 2X X 0 2X 2X 0 2X X X 2X X 2X 2X 0 2X X X 2X X 0 0 X 2X X X X X X 0 2X 0 X 2X generates a code of length 98 over Z3[X]/(X^2) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+274x^183+616x^186+938x^189+840x^192+834x^195+892x^198+900x^201+544x^204+404x^207+166x^210+86x^213+24x^216+10x^219+6x^222+10x^225+2x^228+2x^231+6x^234+2x^243+4x^246 The gray image is a linear code over GF(3) with n=294, k=8 and d=183. This code was found by Heurico 1.16 in 1.72 seconds.