The generator matrix 1 0 0 0 1 1 1 2 6 1 1 4 1 1 2 4 1 1 4 1 2 4 1 2 0 1 4 1 1 4 1 1 6 1 1 1 2 0 6 1 1 1 2 0 1 1 4 1 1 0 6 1 1 1 1 0 1 1 0 4 1 6 0 1 1 6 4 2 1 1 4 6 0 1 0 0 2 0 2 2 1 7 5 1 7 1 1 6 7 5 1 2 1 1 6 2 4 5 1 2 4 0 5 3 1 4 4 6 0 6 1 0 4 1 1 0 3 0 1 5 7 1 1 4 0 2 4 4 5 1 1 1 6 1 1 4 2 1 1 1 2 5 2 1 0 0 1 0 2 1 3 1 5 7 4 2 5 6 5 1 0 3 7 5 2 7 0 6 1 0 2 2 3 1 1 1 3 4 5 5 1 2 6 6 3 2 0 1 4 2 6 3 5 5 7 6 1 6 5 6 4 7 3 3 1 4 1 2 4 3 5 4 6 4 1 0 0 0 0 1 3 1 2 3 0 1 3 5 4 6 1 0 2 4 6 3 5 5 0 1 6 5 0 1 6 7 1 6 5 3 6 6 6 1 3 2 3 3 3 7 2 7 6 1 2 6 3 5 5 6 0 1 2 4 7 4 1 6 3 0 1 2 0 5 3 0 7 1 0 0 0 0 4 0 4 4 4 4 0 4 0 4 0 0 0 4 0 4 0 4 4 4 4 4 0 0 0 0 4 0 4 4 0 4 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 0 4 0 0 0 0 4 0 4 4 0 4 0 4 0 0 0 0 0 4 4 4 4 4 0 0 4 0 4 4 0 4 4 4 0 4 0 0 4 0 0 0 4 4 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 4 0 4 0 4 0 0 0 4 4 4 0 4 0 4 0 4 0 0 4 4 generates a code of length 72 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+370x^64+376x^65+930x^66+796x^67+1449x^68+940x^69+1714x^70+1000x^71+1546x^72+1056x^73+1686x^74+920x^75+1248x^76+576x^77+746x^78+328x^79+377x^80+120x^81+94x^82+28x^83+55x^84+4x^85+10x^86+10x^88+2x^90+2x^94 The gray image is a code over GF(2) with n=288, k=14 and d=128. This code was found by Heurico 1.16 in 18.6 seconds.