The generator matrix 1 0 0 0 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 X 1 1 1 2X 0 1 1 1 X 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 X 2X 1 0 1 0 0 0 X 0 X 2X+1 1 1 1 2X+1 X+1 X+2 X+2 2X+1 2X+2 2X 2X+2 0 X 1 X X+2 2X+2 1 1 1 X+2 1 2X+1 2 1 2X+2 0 X 1 X+2 2X+2 0 X+1 X+2 2X+1 X+1 2X+2 1 X X 0 0 1 0 0 2X+1 X 2 2X+2 1 X+1 2X+2 2X 1 2X 2X+1 2X+2 0 1 2X+2 1 2 2 1 X+1 2X+1 2X 1 X+2 0 2X+2 2X X 2X 2 2 1 2X+2 2X+2 2X+1 2X+2 0 2X+2 X X+1 X 2 1 1 0 0 0 1 1 2X+1 2X+2 1 X+2 X X+1 X+2 2 X+2 2X+2 X+1 0 1 2X+1 2X X X+2 X+1 2X+2 2X+2 2X+2 X 1 X+1 X X 2X+2 2X 2X+1 X+1 2X+1 2X+2 X+2 2X+1 2X+1 X+1 2X+2 2X 2X+1 1 X+2 X+1 2X X+2 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 X X X 2X 2X X 2X 2X 2X X 2X X X X 2X X 0 X 2X X 0 X 0 2X 2X X 2X 2X 2X 0 2X 2X 2X 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+852x^87+1928x^90+2984x^93+3398x^96+3682x^99+3178x^102+2422x^105+996x^108+208x^111+22x^114+8x^117+2x^120+2x^123 The gray image is a linear code over GF(3) with n=147, k=9 and d=87. This code was found by Heurico 1.16 in 5.53 seconds.