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 X 1 1 1 1 X X 1 1 X 1 1 X 1 1 X 1 X 1 1 X 1 X 1 0 X 0 0 0 0 0 0 0 0 X 2X 2X X X X 0 2X X 2X 0 X 2X X X X 0 2X X X X 0 X 0 X X 2X 2X 0 2X 0 0 2X 0 2X 2X 2X 0 X 2X X 2X 2X 2X 2X 2X 0 2X 0 0 X 0 X 2X X X X X 0 X X 2X X 2X X X X 2X X X X X X X 2X 2X 2X 2X 0 2X X X 0 X 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 2X X 2X X 0 X X 2X 0 0 X 2X X X X 2X 2X X 0 X 0 X 0 X 0 2X 2X 0 2X 0 X 2X 2X X X X 0 0 X 0 X X 2X 2X 2X X X 0 0 X 2X 2X 2X 0 X 0 0 X X 2X 2X 2X X 2X 0 X 0 2X 2X 0 2X 0 X 0 0 0 0 0 X X 2X 0 0 0 X 0 0 X 2X 0 2X 0 0 2X X X 2X 0 X 0 2X X X X 2X 2X X 2X X 0 0 X 0 0 X X 0 X 2X 0 0 X X 0 2X 0 X X 0 2X 0 X X X 0 2X 2X 2X 0 0 X X 0 X X 2X X 2X 0 X 2X 2X 0 0 0 X 2X 0 2X X X 0 2X 0 2X 0 2X 2X X 2X 0 2X 2X 2X 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 0 2X 2X 0 2X X 0 X 2X 0 2X X 2X 0 2X 0 0 X X 2X 2X X 2X 2X 2X X X X 0 X X 0 2X 0 0 2X 2X 0 0 X X X 2X 2X 2X X X 2X X 0 2X X 2X 2X 0 0 0 0 X 0 X 0 0 X X 2X 0 X 2X 0 X X 2X X 0 X 0 2X X 2X X 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X 2X X X 2X X 2X 2X 2X X 2X X X 0 0 0 2X 0 X 2X 0 0 0 0 2X 2X X X 0 0 X 0 X X 2X X 0 0 0 X 2X X 2X 2X X X 2X 0 2X X 2X 2X 0 2X 0 0 X 2X X 0 X 0 0 2X 2X 0 2X X 0 2X 0 2X 0 0 2X 0 X 2X X 2X X 2X generates a code of length 94 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+206x^177+216x^180+186x^183+462x^186+428x^189+354x^192+172x^195+60x^198+44x^204+12x^207+18x^213+6x^216+14x^222+4x^225+2x^231+2x^252 The gray image is a linear code over GF(3) with n=282, k=7 and d=177. This code was found by Heurico 1.16 in 35.4 seconds.