The generator matrix 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 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 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 1 1 1 1 1 X X 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 2X X X 0 X X X 2X X 0 2X X 0 0 X X X 0 0 2X 0 0 2X 0 X 2X 2X 2X 0 X 0 X X 0 X X 0 X 0 X 0 2X X X 0 2X X 2X 0 2X 2X X 0 X 0 X 0 X 0 2X X X X 0 X 2X 2X 2X 0 2X X X 0 X 2X 0 2X X 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X 2X X X 2X X 2X 2X 0 0 2X 0 2X 2X 0 2X 0 2X X 2X X 0 2X 2X 2X X 0 X 2X 2X 0 0 X 0 0 X 0 0 2X X 0 X X 2X 0 X X 2X 2X X 2X 0 X 0 X 2X 0 X X X X 0 0 0 2X 0 X 0 X X 2X 0 0 X 0 2X 2X 2X 0 X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 2X 2X 2X X 2X 2X 2X X X X X X 0 X 0 2X X 2X X 2X X 2X 2X X 0 2X 0 X 2X 0 2X 0 2X 0 0 X 0 X 0 2X 0 2X 0 X X X 2X X 0 X 2X 0 X X 0 0 0 0 X X 0 0 X 2X 0 2X 2X X X X 2X X 2X 2X 2X X 2X 2X 2X 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 X 2X 0 2X X 0 2X 0 X X 0 X 2X 0 0 2X X X X X 0 X 0 2X X X 2X X 0 0 0 2X 2X 2X X 2X 2X X X X 0 0 0 2X X 2X 2X 2X X X X 0 0 0 X X X 0 2X X 0 0 2X 0 0 2X 2X 0 2X X 0 0 2X 0 2X X 0 2X 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X X X 2X 2X X 0 X X X 2X X 0 0 0 X 0 X 0 X 0 2X 0 0 0 X X 0 X 2X X X 2X 2X 2X 2X 2X X 0 0 0 2X X 2X 2X 2X X 0 2X 0 2X 2X X 2X 0 2X 2X X 2X X 2X 0 2X 0 X X 2X 2X 0 0 0 X 0 0 0 0 0 X X X generates a code of length 95 over Z3[X]/(X^2) who´s minimum homogenous weight is 180. Homogenous weight enumerator: w(x)=1x^0+306x^180+72x^183+252x^186+612x^189+522x^192+180x^195+140x^198+60x^207+30x^216+10x^225+2x^270 The gray image is a linear code over GF(3) with n=285, k=7 and d=180. This code was found by Heurico 1.16 in 37.3 seconds.