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 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 4 1 1 1 1 8 1 1 1 4 1 1 1 1 1 1 0 2 12 6 0 6 12 10 0 10 12 6 0 6 12 10 8 14 10 4 10 0 8 2 12 6 12 6 14 4 0 10 0 10 6 14 12 4 0 10 8 2 8 2 8 6 10 12 12 14 4 6 10 2 10 12 12 14 12 4 12 8 2 12 0 8 4 14 10 0 6 6 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 8 0 0 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 0 8 8 0 8 8 8 0 8 8 8 0 8 0 8 8 0 0 0 8 0 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 8 8 8 0 8 0 0 8 8 0 8 8 8 8 8 8 8 8 0 0 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 0 8 8 8 8 0 8 8 0 0 0 8 0 0 8 0 0 8 0 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 0 8 8 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 0 8 8 8 8 8 0 8 8 0 0 8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 0 0 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 8 generates a code of length 72 over Z16 who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+44x^65+88x^66+134x^67+162x^68+198x^69+376x^70+788x^71+635x^72+792x^73+372x^74+150x^75+66x^76+84x^77+48x^78+66x^79+27x^80+28x^81+12x^82+12x^83+4x^84+6x^85+2x^87+1x^136 The gray image is a code over GF(2) with n=576, k=12 and d=260. This code was found by Heurico 1.16 in 7.35 seconds.