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 2 0 1 1 1 2 8 1 2 1 1 1 2 0 1 1 1 4 1 1 2 1 1 0 2 0 0 1 1 2 1 1 1 1 1 1 2 2 4 4 1 1 1 1 1 0 2 0 6 4 6 12 14 6 8 0 10 4 10 10 4 0 6 12 10 4 10 6 2 10 4 10 14 2 8 6 4 10 8 2 2 4 2 4 2 8 14 14 2 4 2 4 2 2 12 10 10 8 4 2 12 12 0 8 14 12 4 8 6 8 8 0 0 0 12 0 4 0 0 4 4 0 4 12 4 4 0 8 0 8 12 4 0 12 8 0 8 4 8 8 0 4 12 12 4 4 4 12 12 12 8 0 0 12 12 4 0 4 12 0 8 12 0 0 4 4 12 8 12 8 4 8 8 0 8 0 4 4 0 0 0 0 12 0 0 0 0 4 12 12 8 12 4 4 12 8 8 4 4 4 8 8 0 4 0 0 12 4 0 4 12 12 12 0 12 8 8 12 4 4 0 0 0 8 12 4 0 4 8 0 8 8 8 4 12 0 4 8 4 12 4 4 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 8 8 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 8 0 8 8 0 8 0 8 8 8 0 8 0 8 0 0 8 0 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 0 8 8 0 0 8 0 0 0 8 8 8 8 8 0 0 0 8 8 0 0 0 8 8 8 8 0 0 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 8 8 0 8 8 0 8 8 8 0 0 8 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 8 0 0 8 0 0 8 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 8 8 8 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+57x^56+82x^57+180x^58+258x^59+460x^60+662x^61+974x^62+1604x^63+2233x^64+3102x^65+4202x^66+4952x^67+4442x^68+3222x^69+2256x^70+1620x^71+954x^72+510x^73+350x^74+222x^75+152x^76+82x^77+86x^78+40x^79+18x^80+18x^81+11x^82+8x^83+2x^84+2x^85+4x^86+1x^88+1x^98 The gray image is a code over GF(2) with n=536, k=15 and d=224. This code was found by Heurico 1.16 in 23 seconds.