The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 X 0 0 X 0 X X 2X 0 0 X X 0 2X X 2X 2X 0 X 2X 0 X 2X 2X 2X 2X 0 0 0 X X 0 X X 2X 0 0 X X 0 2X X 2X 2X X 0 X 0 0 0 X 0 2X X 2X X 2X 0 X X 0 2X 0 0 X X 2X 2X 2X 2X X 0 0 X 2X 0 0 X 2X X X 2X 0 2X 0 X X 0 2X 0 0 X X X 2X 2X 0 0 0 0 X 2X 2X 0 2X 2X 2X X 0 2X 0 2X X X 0 X X X 2X X 0 X 2X 0 0 X 2X 2X 2X X X X 2X 2X 0 0 0 X X 2X 2X X X 0 0 0 generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+12x^93+84x^96+128x^99+6x^102+6x^105+4x^108+2x^144 The gray image is a linear code over GF(3) with n=147, k=5 and d=93. This code was found by Heurico 1.16 in 0.0115 seconds.