The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 X 1 1 1 2X 1 1 1 1 1 0 1 1 X 1 1 X 0 1 1 2X 1 1 1 1 1 0 2X X 1 1 1 0 2X 1 1 1 X 1 1 1 1 X 2X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 X 1 1 2X 0 1 1 2 0 2X+1 2 1 X+2 1 0 2X+1 1 0 2 X+2 1 X 2X+1 X+2 2X+1 X+1 1 2 2X 1 2X+2 X+1 1 1 X+2 X+1 1 0 2 0 2X+2 X 1 1 1 X 2 2X 1 1 X+2 X+2 2X 1 X X+2 2 2 1 1 X X 2X 1 2 2X+2 2X+2 2X+1 1 X+2 2X+2 2X 0 2X 0 0 2X 2X 2X 2X 2X+1 1 X 2X+1 1 X+1 X+1 X+1 X+1 1 1 1 2X X+1 1 X+1 2X 1 0 0 2X 0 0 2X 0 X 0 2X 0 X 0 2X 2X X X 2X X X X 2X X 0 0 0 X X 0 0 X 2X X 2X X X 0 2X 2X X X 0 0 2X 0 0 0 0 2X X 2X X X 2X 2X 0 X 0 0 X X 2X X X X 2X 0 0 0 X 2X 2X 0 X 2X X 0 2X 2X 0 X 2X X 2X 0 2X 2X X X X 0 X 2X X 0 0 0 X 0 0 0 0 2X X X X 2X 2X 0 X 2X 2X X 2X 2X 2X 2X X X X X X 2X 2X X 2X 2X 2X 2X 2X 2X X X X 0 0 0 X X 0 2X X 0 0 0 2X 0 2X 0 X X X 2X X 2X 0 0 2X 0 2X 0 X 2X X 0 0 0 2X 2X 0 2X 2X 0 0 2X X 0 0 X 2X 0 0 0 2X X 0 X 0 0 0 0 0 X 2X 2X X X 0 2X 2X 2X X X X 0 2X 0 2X X 0 2X X 0 2X 2X X 0 X 0 X X 0 0 X 0 0 2X 0 2X 2X 0 X X X 2X 2X X 0 0 X X 0 0 2X X 0 X X 2X 0 2X 2X 2X 2X 2X 2X 0 2X 2X 0 X 2X 2X 0 0 0 X X X 2X X 2X 2X X X 2X 2X 0 0 0 2X X generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+342x^180+454x^183+406x^186+336x^189+190x^192+166x^195+158x^198+72x^201+40x^204+6x^207+2x^210+10x^216+2x^219+2x^234 The gray image is a linear code over GF(3) with n=282, k=7 and d=180. This code was found by Heurico 1.16 in 0.347 seconds.