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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 0 2 12 2 0 2 0 2 0 4 4 0 1 0 2 12 6 0 6 12 10 6 0 10 12 10 0 14 12 10 0 6 12 8 10 4 6 0 14 12 10 8 6 4 2 8 6 4 2 8 14 4 2 0 0 6 14 12 12 10 10 0 8 0 8 6 14 6 14 12 12 4 4 10 10 2 2 8 2 6 2 10 2 6 2 10 4 12 0 2 0 0 0 8 0 0 0 8 0 8 0 8 0 8 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 8 8 0 8 8 0 0 0 0 8 8 8 0 8 0 0 0 8 0 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 8 8 0 0 0 0 0 8 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 8 0 8 0 8 0 0 8 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 0 8 8 0 8 0 0 8 0 8 0 0 0 0 0 8 0 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 8 8 8 0 0 0 0 8 0 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 0 8 0 8 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 8 0 0 8 0 8 8 0 8 8 8 8 0 0 0 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 8 0 0 8 8 0 0 0 8 0 0 0 8 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+7x^72+50x^73+236x^74+110x^75+363x^76+132x^77+372x^78+180x^79+160x^80+114x^81+159x^82+30x^83+109x^84+24x^85+1x^130 The gray image is a code over GF(2) with n=624, k=11 and d=288. This code was found by Heurico 1.16 in 0.5 seconds.