The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X^2 1 1 1 1 X 0 X X X X^2 1 1 1 1 X X X^2 0 X X 0 X^2 X X X^2 X^2 X^2 1 0 X X^2 X^2+X 0 X^2+X X^2 X 0 X^2+X X^2 X 0 X^2+X X^2 X X^2+X X X X 0 X^2 X^2+X X X^2+X X 0 X^2 X X 0 X^2 X^2+X X 0 X^2 X^2 X^2 X^2+X X X X 0 X^2 0 X^2 0 0 generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+3x^48+16x^49+4x^50+8x^51 The gray image is a linear code over GF(2) with n=192, k=5 and d=96. This code was found by Heurico 1.16 in 0.0548 seconds.