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 2 1 1 1 2 2 1 1 1 1 2 1 2 1 1 1 1 4 0 1 1 4 1 1 1 1 0 1 2 1 2 4 1 2 1 1 1 4 1 1 1 1 1 2 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 8 12 0 8 0 4 4 8 12 0 8 0 8 12 12 4 4 12 0 12 0 12 12 12 4 4 4 12 12 12 12 12 0 0 0 8 12 4 4 8 12 0 8 8 12 4 4 12 0 12 12 0 12 8 8 8 12 0 4 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 0 8 0 0 0 8 0 8 8 0 0 8 0 8 8 0 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 8 8 8 8 0 8 8 0 0 8 8 0 0 8 8 0 0 0 8 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 8 0 0 8 0 8 8 8 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 8 8 8 0 8 8 8 8 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 0 0 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 0 0 0 8 8 0 0 8 8 8 8 0 8 0 8 0 8 8 0 0 8 8 0 0 8 0 0 8 8 8 8 0 0 8 0 8 0 8 8 8 8 8 0 0 8 8 8 8 0 0 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 0 0 0 8 0 8 0 8 8 0 8 0 8 0 8 8 8 8 0 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 8 0 8 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 8 0 0 8 8 8 0 8 0 8 8 0 8 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 0 8 0 8 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 8 0 8 0 8 8 0 8 8 0 0 8 8 0 8 0 8 0 0 8 0 8 8 0 0 0 0 0 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+126x^68+104x^70+16x^71+273x^72+80x^73+410x^74+176x^75+1553x^76+240x^77+2312x^78+240x^79+1525x^80+176x^81+396x^82+80x^83+224x^84+16x^85+96x^86+92x^88+10x^90+28x^92+12x^96+4x^100+1x^104+1x^124 The gray image is a code over GF(2) with n=624, k=13 and d=272. This code was found by Heurico 1.16 in 2.89 seconds.