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 2 8 2 0 2 2 1 1 8 1 1 12 1 1 0 2 1 1 1 8 2 1 1 1 0 1 1 2 1 2 1 1 2 1 4 1 8 2 2 1 1 1 1 0 2 1 4 2 2 4 1 0 2 0 6 0 6 8 10 8 6 8 2 0 14 2 0 4 6 4 6 12 10 12 2 8 14 8 14 2 14 2 10 14 8 10 2 2 4 2 4 14 2 6 8 4 2 2 6 0 2 6 2 4 14 14 8 6 8 12 6 8 2 2 2 2 12 10 2 6 8 2 12 2 2 6 0 2 4 0 0 12 0 0 0 12 0 0 0 8 0 12 0 0 12 0 12 12 12 8 4 4 12 8 4 8 0 8 4 4 0 4 12 0 12 12 4 8 12 12 0 8 0 4 8 12 0 12 12 0 12 0 8 4 8 8 0 8 12 4 12 12 4 4 8 8 0 8 0 4 12 0 0 4 12 4 4 0 0 0 12 0 0 0 4 0 0 0 8 0 4 4 8 4 8 12 12 12 8 12 4 4 8 4 12 0 8 0 8 8 12 12 12 12 0 12 0 12 0 4 4 8 12 0 0 4 0 8 0 12 12 4 4 12 12 8 4 0 8 12 4 12 12 0 4 8 4 0 8 4 12 4 4 12 12 0 0 0 0 12 0 4 0 8 4 4 4 4 12 12 0 0 8 4 8 0 12 8 4 4 8 12 8 4 0 4 0 4 12 12 0 12 12 0 0 8 0 12 4 8 8 8 8 8 12 12 8 12 0 12 4 8 8 8 4 4 4 4 8 4 12 8 4 8 8 0 4 4 12 8 0 8 12 0 0 0 0 0 12 0 12 12 4 4 0 4 0 4 12 8 4 12 8 12 0 4 0 12 8 8 0 0 0 8 8 12 8 0 4 12 8 4 8 12 8 8 12 12 12 8 0 0 12 0 4 4 0 12 8 4 12 4 12 12 4 12 8 0 4 12 12 0 12 12 8 0 0 0 0 4 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+189x^68+68x^69+470x^70+300x^71+1057x^72+1000x^73+1922x^74+2096x^75+3551x^76+3716x^77+4294x^78+3696x^79+3525x^80+2108x^81+1812x^82+960x^83+876x^84+328x^85+346x^86+52x^87+204x^88+12x^89+94x^90+63x^92+18x^94+4x^96+4x^98+1x^100+1x^104 The gray image is a code over GF(2) with n=624, k=15 and d=272. This code was found by Heurico 1.16 in 28.9 seconds.