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 1 0 1 1 2 12 1 1 1 2 1 1 0 1 1 1 1 1 1 1 1 2 1 12 1 1 1 1 2 1 0 1 1 1 1 12 2 1 12 1 1 1 0 2 0 1 2 0 2 1 2 2 2 1 1 0 2 12 6 0 6 12 10 0 6 8 10 12 10 12 4 6 14 0 10 12 6 6 6 2 10 0 10 2 0 8 12 6 10 2 2 2 12 12 10 6 0 4 6 10 8 2 0 10 14 0 6 10 2 12 8 0 6 2 10 14 2 6 2 8 2 6 2 8 10 2 6 12 6 12 0 6 6 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 8 0 8 0 0 8 0 8 8 8 8 8 8 8 0 8 8 8 0 0 0 0 8 0 0 0 8 8 0 8 0 0 0 8 0 0 0 8 0 0 8 8 0 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 8 8 8 0 8 0 0 0 0 8 0 8 0 0 8 8 0 8 0 0 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 8 0 8 8 8 0 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 8 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 0 8 8 8 0 0 8 0 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 8 0 8 8 0 0 8 8 8 8 8 8 0 8 0 8 8 0 0 8 0 0 0 8 8 0 8 0 0 0 8 0 8 0 0 8 8 8 0 8 8 8 0 0 0 8 0 8 8 0 8 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 0 8 0 0 8 0 0 8 0 8 0 0 8 8 0 0 0 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+128x^68+20x^69+206x^70+72x^71+633x^72+268x^73+1272x^74+344x^75+2981x^76+288x^77+3972x^78+392x^79+2967x^80+336x^81+1256x^82+200x^83+577x^84+108x^85+190x^86+16x^87+86x^88+4x^89+16x^90+23x^92+23x^96+3x^100+1x^104+1x^112 The gray image is a code over GF(2) with n=624, k=14 and d=272. This code was found by Heurico 1.16 in 8.21 seconds.