The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 1 1 1 2X 1 1 X 1 0 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 2 0 2 X+1 2X+1 X+2 0 1 X+2 2X+2 2X+1 X+2 1 2X 2X+2 0 2 1 1 X+1 2X+2 2X+1 X X 2X+2 1 X 0 1 1 1 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X X 2X X X X 2X X 2X 2X 0 2X X X 2X X 2X X X 2X X 2X 0 2X X X X 2X 0 2X X X 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X 0 X 2X X 0 X X 2X X X 0 2X X 2X X 0 2X 0 0 0 X 2X 0 0 2X X 2X X 0 X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X 0 2X 0 2X X X 0 0 0 X 2X X 0 2X X 0 2X 2X X 0 2X 2X X X X 2X X 2X 2X 0 2X generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+186x^90+506x^93+366x^96+424x^99+356x^102+240x^105+74x^108+14x^111+6x^114+6x^117+6x^120+2x^126 The gray image is a linear code over GF(3) with n=147, k=7 and d=90. This code was found by Heurico 1.16 in 0.093 seconds.