The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 0 1 1 X 1 1 X 1 2X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 2X X 0 1 1 1 2X 1 2X 1 1 2X 1 1 X 1 1 2X 1 2X 1 1 1 1 1 1 1 1 X 2X 1 X X 0 1 1 2 0 2X+1 2 1 0 2X+1 2 1 X+2 X 2X+1 1 0 X+1 X 2 1 2X+1 X+2 1 X X+2 1 X+1 1 X X+2 2X 2X+2 1 2X+1 X+1 X+1 2X+1 X+1 1 X+1 0 X 0 2X X 0 2X+1 1 1 1 1 1 1 1 2X 0 1 2X+1 1 X X+1 1 2X 1 1 X X+1 1 2X 1 2X+1 X+1 1 1 1 0 X 1 1 1 2X 1 0 0 0 2X 0 X 2X X 0 2X X 0 2X 2X X 0 X 0 X 2X X X 0 2X 2X 2X X 2X 0 0 X 0 0 2X X 2X X 0 2X 0 2X X 0 2X 2X 0 X X X X X 0 0 2X 2X X X 2X X 0 0 0 2X 2X 2X 0 0 0 2X X X 2X X 2X X 0 2X X 0 X 0 2X 0 0 X 0 0 0 X X 2X 2X X 0 0 2X 0 2X 0 2X 0 X 2X X X X 0 X X 2X 0 2X X 2X 2X 0 2X 0 2X X X 2X 0 0 X 0 2X 0 X X X 2X X 0 X 2X 0 0 X 2X 0 2X 2X X X 0 2X 2X 0 2X 2X 2X X X X 0 2X 0 X 0 2X 0 X 0 0 X 0 X X generates a code of length 84 over Z3[X]/(X^2) who´s minimum homogenous weight is 163. Homogenous weight enumerator: w(x)=1x^0+66x^163+66x^165+192x^166+108x^168+108x^169+56x^171+78x^172+42x^175+10x^177+2x^222 The gray image is a linear code over GF(3) with n=252, k=6 and d=163. This code was found by Heurico 1.16 in 0.112 seconds.