The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X 1 1 X 1 1 1 X 1 0 X 0 0 0 0 0 0 0 X X X X X X 0 0 0 X 0 0 0 0 X 0 X X 0 X 0 0 X 0 0 0 0 0 X X X X X X X X 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 X 0 0 0 0 X 0 0 X 0 X X X X X X 0 X X X 0 X X 0 X X 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X X 0 X X X X 0 0 0 X 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X X X X X 0 X X X X 0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X 0 X 0 0 0 X 0 0 X generates a code of length 29 over Z2[X]/(X^2) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+113x^24+80x^26+160x^30+122x^32+16x^34+19x^40+1x^48 The gray image is a linear code over GF(2) with n=58, k=9 and d=24. This code was found by Heurico 1.16 in 93.6 seconds.