The generator matrix 1 0 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 0 1 1 0 1 0 X+1 0 X+1 0 X+1 0 1 0 X+1 X X+1 X X+1 X X+1 X 1 0 1 X X+1 X 1 X 1 0 0 0 X 0 0 X 0 X X 0 0 0 0 X X X X X 0 X 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 0 X 0 X 0 0 X 0 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X X X X 0 X 0 0 0 0 0 0 X X X 0 generates a code of length 32 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+23x^30+32x^31+15x^32+32x^33+24x^34+1x^62 The gray image is a linear code over GF(2) with n=64, k=7 and d=30. This code was found by Heurico 1.16 in 52.6 seconds.