The generator matrix 1 0 0 0 1 1 1 1 X 1 1 1 1 1 1 2X 1 1 1 1 2X 0 1 1 1 2X 1 1 1 1 1 1 1 0 2X 2X 1 1 1 2X 1 X 2X 1 X X 1 1 1 X X 0 1 1 0 2X 2X 1 1 0 1 1 1 1 X 1 0 1 1 2X 0 0 1 1 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 0 1 2X 1 X 0 1 0 0 0 0 2X 2X 1 1 2X+1 X+2 2X+2 0 2X 2X 2X+1 2 1 2X+2 1 1 1 X+1 2 1 X+1 2 2 2X+2 X+1 2X 2X+1 1 1 1 2 2X+2 0 1 2X+1 1 X 2X+2 0 2X 0 0 2X 1 1 2X 2X+2 0 1 1 1 X 2X+1 2X 1 2 0 2X+1 1 2X 1 X 2X 1 1 0 1 X X+1 X 1 X 2X+1 2 2X+2 1 1 X+2 X+2 0 1 X 1 1 X+2 X X+1 0 0 0 1 0 0 0 2X+1 2 2X+1 1 2X 2X X+2 1 2X+2 1 2X X+1 2 X+2 X X+2 X+2 1 X X 2X+2 X+1 0 2 2X 2X+1 2X+1 X+2 X X+1 1 2X 2X+2 X+2 2X X X X 1 1 2X+1 X 2X+1 X+2 1 1 2X+2 2X+2 2X 2 2X+1 2 X X 1 2X X+1 X+2 2X X 1 2X 1 X 2 1 X+2 2X+1 2X+2 X+2 2X+1 1 2X+2 2 X+2 2X+2 2 2X+2 X+2 1 2X+1 0 0 2 1 1 2X+1 X 0 0 0 1 1 2 2X+2 2 X+1 0 X+2 2X+2 2X+1 2X+1 X 2 1 0 X+1 2 X+2 X+2 2X X+2 2X 1 2X+2 2X+1 X+1 2X 0 2X 2X+1 X+1 2X+1 2X+2 2 X+1 X X X+2 2X 1 2X+2 X+1 2X 1 X 2X+2 1 X+1 X+1 X+2 0 X+2 2X+1 X+2 2X+1 X+2 1 2X+1 1 1 2X+1 X 1 X+2 X+1 0 2X+2 0 0 1 0 X 1 X+2 2 1 X 2X 2X+2 2 2 2X+1 0 X 1 X+1 0 0 0 X 1 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 X X X X X X X 0 2X 0 X 2X X X X X X 2X 2X X X X X 0 X 2X 2X X X X X 2X X X 0 2X 0 X X X 0 X 2X 0 0 2X X 2X 2X X 2X 2X 2X 2X X 2X 0 X X 0 X X 2X 0 2X 2X 2X 0 0 2X 0 X 2X X X X X 0 2X 0 2X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X X X X 2X X X X 2X X X 2X X 2X 2X 2X 2X X 2X X 2X 2X X 0 2X 2X X X X 2X X X 0 X 2X X 0 X X X 0 X X X X X 0 2X X X X 2X 2X 2X X X 2X X 2X 2X 0 0 2X generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 171. Homogenous weight enumerator: w(x)=1x^0+808x^171+2574x^174+4256x^177+5756x^180+6654x^183+7684x^186+8498x^189+7668x^192+6412x^195+4544x^198+2488x^201+1170x^204+392x^207+100x^210+22x^213+6x^216+10x^219+4x^222+2x^234 The gray image is a linear code over GF(3) with n=282, k=10 and d=171. This code was found by Heurico 1.16 in 97.4 seconds.