The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 0 2X 1 1 1 1 1 2X 1 1 1 2X X 1 1 X 1 1 1 1 1 1 1 2X 1 2X 0 1 0 1 X 1 2X 2X 1 1 1 0 1 0 0 X 2X+1 2X+1 1 2X+2 2 2 1 0 X X+1 X+1 1 1 1 2X+2 2X+2 X+2 X+2 1 2X 0 2X+2 1 1 2X X 1 2X 2X 0 X+2 X X+2 2X+2 1 X+2 1 1 1 1 2X+2 1 1 1 1 X+2 2X+2 1 0 0 1 1 2X+2 2X X+2 X+1 2X+1 2 0 0 1 2X+2 2X 1 2X+1 2 2 2X+1 X 0 2 2X+2 X+1 X 2X+2 2X 2X+1 2 1 1 2X+2 X+2 2X+1 0 2X 2X+2 2X+2 1 2X 2X+1 X+2 2 2X+2 X+1 2X+2 X+2 X+1 X+2 X+1 0 1 0 0 0 2X 2X 0 2X 2X X X 2X 2X X X X 0 X 0 X 0 X 0 2X X X 2X 0 2X 2X 0 2X X X 0 X X 0 0 2X 0 2X 2X 0 2X X 0 2X X 2X 0 X 2X 0 generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+268x^99+634x^102+430x^105+312x^108+218x^111+182x^114+90x^117+48x^120+2x^126+2x^144 The gray image is a linear code over GF(3) with n=159, k=7 and d=99. This code was found by Heurico 1.16 in 0.0688 seconds.