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 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 2 1 1 1 1 2 1 2 1 0 12 0 12 0 12 0 12 8 4 0 12 4 0 8 12 8 12 8 4 0 0 12 4 0 8 0 8 12 12 4 4 0 12 0 12 0 4 8 12 12 12 8 8 0 8 4 0 0 0 12 12 12 4 12 4 12 4 0 12 0 0 4 8 0 8 0 12 0 8 8 12 4 0 4 8 8 0 12 12 0 12 12 4 12 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 8 8 0 0 8 8 0 8 8 8 8 8 0 0 8 8 8 0 8 8 0 0 0 8 8 8 0 8 0 0 0 8 8 8 8 0 8 0 0 0 0 0 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 8 0 8 8 8 0 8 8 8 0 8 8 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 0 0 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 0 8 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 8 8 0 8 8 0 8 8 8 8 0 0 8 8 8 8 8 0 8 8 0 0 8 0 0 8 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 0 0 0 8 8 0 8 8 0 8 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 0 8 8 8 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 8 0 0 8 8 8 8 0 8 0 8 8 0 8 0 0 0 0 0 8 8 0 8 0 0 0 8 8 0 0 8 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 8 8 8 8 0 0 8 8 8 8 0 8 0 0 8 0 8 0 8 0 8 0 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 generates a code of length 86 over Z16 who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+56x^77+21x^78+70x^79+50x^80+66x^81+61x^82+132x^83+223x^84+1216x^85+361x^86+1224x^87+202x^88+108x^89+44x^90+76x^91+16x^92+72x^93+17x^94+34x^95+7x^96+18x^97+7x^98+7x^100+1x^102+4x^104+1x^108+1x^156 The gray image is a code over GF(2) with n=688, k=12 and d=308. This code was found by Heurico 1.16 in 1.61 seconds.