The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 0 X^2+X 1 1 1 1 X^2 X 1 1 1 1 1 1 1 1 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 0 X^2+X X+1 X^2+1 1 1 X^2 X X^2+X+1 1 1 1 0 X^2 X^2 X X^2+X X X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+72x^30+32x^31+45x^32+32x^33+72x^34+2x^48 The gray image is a linear code over GF(2) with n=128, k=8 and d=60. This code was found by Heurico 1.16 in 0.00986 seconds.