The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 1 X 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 0 X 1 2X 1 1 1 1 1 0 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 2X+1 1 2 2X+1 1 X 2 2X+1 2X X X 1 2X+2 1 1 X+2 X+1 2X+1 X+1 0 1 1 X 1 2X+1 0 2X X+2 2X+1 1 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X 0 X X 0 0 X 2X 0 X 2X 0 2X 2X 0 2X X X X X 2X 0 2X X 2X X 2X X X X X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 X 2X X 2X X 0 2X X X 2X X X 0 0 0 2X 0 2X 2X 0 0 X X 2X 0 0 0 2X X 2X 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X X X 2X 2X 0 0 2X 2X 2X 2X 0 2X 2X 0 2X X 0 X 0 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 2X 0 0 X 0 0 2X 2X X X X 0 2X X 2X X 0 X 2X 2X 2X X 2X 2X X X 0 2X 2X X generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+268x^87+586x^90+900x^93+1256x^96+1428x^99+1092x^102+684x^105+254x^108+6x^111+50x^114+26x^117+10x^123 The gray image is a linear code over GF(3) with n=147, k=8 and d=87. This code was found by Heurico 1.16 in 3.62 seconds.