The generator matrix 1 0 1 1 1 6 1 1 12 10 1 1 0 1 1 1 14 1 1 6 1 1 8 1 1 1 6 1 0 1 1 1 0 1 4 1 1 1 1 6 14 4 1 1 1 1 1 1 1 1 1 1 10 1 14 1 1 1 10 1 1 1 4 14 8 1 1 0 1 1 8 4 2 1 1 1 1 8 0 1 11 6 1 1 0 11 1 1 13 6 1 11 8 10 1 5 4 1 13 15 1 6 9 0 1 2 1 5 8 3 1 3 1 7 6 2 5 1 1 1 12 14 1 0 9 3 0 14 3 4 1 9 1 7 8 2 1 1 5 7 2 1 1 13 12 1 7 15 8 1 14 4 4 1 5 2 0 0 12 0 0 0 0 0 0 0 12 8 4 8 12 4 8 8 12 12 8 12 4 12 4 4 0 4 12 8 8 0 0 0 8 12 4 4 4 4 0 12 8 8 4 4 0 12 0 12 4 0 12 0 8 12 0 0 12 8 8 4 8 0 0 12 12 12 4 4 8 0 12 4 0 8 12 4 0 0 0 12 0 0 12 8 0 0 8 8 4 12 8 4 4 0 8 4 12 12 12 8 0 0 12 4 8 12 8 4 4 0 12 8 4 0 0 0 12 0 8 0 4 12 12 12 12 4 12 8 12 8 8 12 8 8 12 4 0 0 0 12 12 0 0 12 8 0 4 12 0 0 12 8 8 4 0 0 0 0 4 0 0 12 8 0 0 0 0 0 8 8 8 0 8 8 8 8 12 12 12 4 12 12 4 12 12 12 4 8 12 8 0 0 12 12 0 0 0 4 12 0 12 8 12 4 4 8 4 4 0 4 8 12 4 0 8 0 12 0 8 12 8 12 4 12 4 12 0 12 0 4 4 12 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 8 8 8 8 8 0 8 8 8 0 8 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 8 0 8 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 0 0 8 8 8 8 0 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 0 8 8 0 8 8 0 8 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+205x^68+80x^69+512x^70+600x^71+1401x^72+2184x^73+3432x^74+5400x^75+6114x^76+9164x^77+7473x^78+9016x^79+6473x^80+5564x^81+3069x^82+2184x^83+1197x^84+532x^85+481x^86+80x^87+163x^88+12x^89+111x^90+47x^92+24x^94+13x^96+1x^100+2x^102+1x^104 The gray image is a code over GF(2) with n=624, k=16 and d=272. This code was found by Heurico 1.16 in 69.2 seconds.