The generator matrix 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 1 2 1 1 1 1 1 1 1 4 2 0 4 0 2 2 0 0 2 2 4 1 4 4 1 1 2 1 1 4 1 0 4 2 0 1 4 2 4 1 2 1 0 2 0 0 0 0 0 0 0 2 2 6 6 6 2 2 0 2 4 0 4 6 6 6 0 6 4 2 4 6 4 0 4 0 2 4 2 6 2 0 2 2 2 2 4 4 0 4 0 4 2 2 2 2 6 6 6 4 2 2 0 2 2 6 2 4 2 2 2 4 2 0 0 0 2 0 0 0 2 6 2 2 2 4 2 6 0 0 0 4 4 6 4 0 2 4 6 6 0 2 0 0 2 2 6 4 2 6 4 4 2 0 6 4 6 6 6 2 4 4 6 0 6 6 6 4 0 0 2 4 6 0 0 4 0 0 6 6 6 2 6 0 2 0 0 0 0 2 0 2 2 6 0 0 2 2 0 2 2 4 2 2 0 6 6 4 6 4 4 4 2 0 4 6 2 6 4 4 6 2 4 4 6 2 2 0 2 2 2 4 2 2 2 6 2 0 4 4 4 6 6 2 2 0 2 2 6 4 4 6 4 0 4 2 2 0 0 0 0 0 2 2 0 6 2 0 2 2 2 4 4 6 6 2 4 2 0 2 2 4 4 4 4 2 0 0 6 0 2 2 4 4 4 6 2 2 6 0 6 4 4 0 4 0 2 6 6 2 0 2 0 0 6 0 0 0 4 2 6 4 4 4 6 2 0 2 2 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 0 4 0 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 4 4 4 0 4 4 0 0 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 4 4 0 4 0 4 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 0 0 0 4 0 0 0 4 4 0 0 4 4 4 4 0 0 4 0 4 4 4 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 0 4 0 0 0 4 0 4 4 0 4 4 4 0 0 0 0 0 0 4 4 0 4 4 4 4 4 0 4 4 0 0 0 4 0 0 4 0 4 0 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 4 4 0 4 4 0 0 4 0 4 4 4 4 0 4 4 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 0 4 4 0 0 0 4 0 0 4 0 0 0 generates a code of length 72 over Z8 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+55x^58+62x^59+219x^60+278x^61+440x^62+502x^63+704x^64+846x^65+1179x^66+1452x^67+1731x^68+2334x^69+2454x^70+2712x^71+2705x^72+2716x^73+2553x^74+2388x^75+1916x^76+1476x^77+1122x^78+826x^79+661x^80+442x^81+309x^82+224x^83+203x^84+82x^85+62x^86+24x^87+40x^88+12x^89+16x^90+2x^91+11x^92+6x^93+2x^94+1x^104 The gray image is a code over GF(2) with n=288, k=15 and d=116. This code was found by Heurico 1.16 in 70.6 seconds.