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 1 1 1 1 1 1 1 1 2 2 2 2 4 2 2 1 1 1 4 1 2 1 1 1 2 4 0 1 1 1 2 0 4 0 8 2 1 1 2 1 0 12 0 0 0 4 12 4 0 8 0 12 0 0 12 12 4 0 8 8 4 4 0 4 4 8 4 4 12 8 4 8 12 12 12 12 8 12 4 12 4 4 12 4 4 12 0 0 8 12 0 12 4 8 0 4 4 8 8 12 0 4 8 0 4 0 8 12 4 0 0 0 0 12 0 4 4 12 0 0 0 12 8 0 12 4 0 12 8 12 12 12 4 12 12 0 0 8 8 8 4 4 12 0 12 12 0 12 0 0 12 0 4 8 12 4 0 8 8 4 4 12 8 12 0 12 0 0 4 12 4 0 12 4 4 12 4 4 8 12 12 8 0 0 0 12 4 0 12 4 0 4 12 12 8 8 4 8 0 4 4 0 8 4 4 0 0 8 4 8 4 8 4 4 4 8 12 4 8 8 8 4 12 0 0 8 8 12 12 8 12 4 0 8 0 12 8 4 12 0 4 4 0 8 4 4 12 4 4 0 12 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 0 0 8 8 8 8 0 8 8 8 8 8 8 0 0 8 0 0 0 0 8 8 8 0 0 8 0 0 0 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 0 8 8 8 0 0 8 0 0 8 8 8 8 0 0 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 0 8 8 0 0 8 0 8 0 8 8 0 0 8 8 0 0 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 8 8 8 0 0 8 8 generates a code of length 71 over Z16 who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+66x^59+130x^60+184x^61+286x^62+330x^63+416x^64+558x^65+738x^66+1520x^67+2126x^68+3378x^69+4421x^70+4444x^71+4615x^72+3260x^73+2217x^74+1474x^75+650x^76+588x^77+410x^78+306x^79+186x^80+182x^81+100x^82+44x^83+50x^84+42x^85+17x^86+8x^87+12x^88+1x^90+4x^92+2x^94+1x^96+1x^104 The gray image is a code over GF(2) with n=568, k=15 and d=236. This code was found by Heurico 1.16 in 33 seconds.