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 2 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 4 2 1 2 1 2 4 1 1 1 0 1 2 1 4 2 4 0 12 0 0 0 4 12 4 8 12 8 12 0 4 8 12 0 12 0 12 8 0 12 4 0 0 8 4 8 12 4 12 4 0 4 4 4 4 0 4 8 0 4 8 8 0 4 8 4 12 0 0 12 8 8 4 8 12 4 12 4 4 0 12 12 12 0 4 0 0 12 0 4 4 4 8 0 4 8 4 4 0 12 8 0 12 12 0 0 12 12 8 0 12 8 8 12 12 12 0 4 0 12 8 4 0 4 12 12 0 8 12 4 8 0 12 8 12 0 12 0 12 8 12 12 8 4 4 12 4 4 12 4 0 12 0 0 0 0 12 4 0 4 4 8 0 12 4 4 4 8 8 8 8 4 4 4 0 12 0 0 8 4 4 4 8 12 8 0 0 4 12 0 0 12 8 8 12 4 12 8 8 12 4 8 8 4 8 12 0 4 0 4 8 0 4 0 12 8 4 0 0 0 4 0 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 0 8 0 0 8 0 8 0 0 8 8 8 0 8 0 8 0 8 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+74x^61+109x^62+126x^63+109x^64+344x^65+228x^66+1020x^67+177x^68+1020x^69+209x^70+326x^71+80x^72+68x^73+70x^74+46x^75+13x^76+18x^77+17x^78+12x^79+2x^80+12x^81+6x^82+6x^83+1x^84+1x^86+1x^108 The gray image is a code over GF(2) with n=544, k=12 and d=244. This code was found by Heurico 1.16 in 44.6 seconds.