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 2 2 1 2 1 1 2 1 1 4 2 1 2 8 2 1 2 1 2 4 1 1 2 1 2 1 1 1 2 0 1 1 4 1 4 2 1 4 1 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 4 0 0 12 4 8 0 12 0 8 0 8 4 4 8 12 12 12 12 12 4 4 4 4 12 4 8 4 4 8 0 8 0 0 12 0 8 4 12 4 12 0 0 8 12 8 8 4 8 8 0 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 12 4 0 0 0 0 4 12 4 8 4 4 8 4 12 8 0 8 8 8 12 12 4 12 12 0 4 4 4 4 0 12 4 8 12 8 8 12 8 4 0 12 4 4 12 8 4 4 0 4 4 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 8 0 0 8 8 0 8 8 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 8 0 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 0 8 8 0 8 8 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 8 0 8 0 0 8 8 0 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 8 8 0 8 8 0 0 8 8 8 8 0 0 0 8 0 8 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 8 8 8 0 0 0 0 8 8 0 8 8 8 8 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 0 0 0 8 generates a code of length 67 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+63x^56+68x^57+137x^58+154x^59+201x^60+340x^61+407x^62+594x^63+1141x^64+1652x^65+2171x^66+2564x^67+2185x^68+1744x^69+1129x^70+564x^71+376x^72+228x^73+164x^74+194x^75+107x^76+60x^77+54x^78+26x^79+18x^80+4x^81+23x^82+3x^84+9x^86+1x^88+1x^90+1x^94 The gray image is a code over GF(2) with n=536, k=14 and d=224. This code was found by Heurico 1.16 in 8.12 seconds.