The generator matrix 1 0 1 1 1 6 1 1 8 1 14 1 1 1 8 10 1 1 12 1 1 14 1 1 1 1 1 4 1 0 6 1 1 1 1 2 1 1 12 1 1 10 1 1 1 2 1 1 14 14 1 1 1 2 1 6 4 0 1 1 1 8 1 1 1 10 2 2 1 1 1 0 1 2 6 1 1 1 0 1 11 6 13 1 0 11 1 6 1 13 12 7 1 1 5 2 1 9 10 1 3 8 0 6 5 1 3 1 1 11 14 1 4 1 0 6 1 12 1 1 15 7 10 1 14 15 1 1 15 4 1 1 5 1 1 2 2 3 9 1 1 0 9 1 0 1 6 1 6 0 14 14 1 1 11 0 0 0 12 0 4 0 0 0 8 0 8 8 0 4 4 12 0 8 4 0 0 4 12 12 4 4 4 8 8 4 4 0 4 12 4 8 8 4 12 4 8 8 0 0 4 4 0 8 4 12 12 4 0 8 4 0 4 4 0 8 4 0 12 4 8 4 0 0 12 12 0 4 0 0 0 12 12 8 0 0 0 12 0 0 12 4 12 8 4 12 0 8 0 4 8 12 4 0 0 0 4 0 12 4 12 12 8 12 4 4 8 0 8 4 8 4 4 4 4 0 0 4 4 0 4 8 0 8 4 0 12 0 4 8 8 12 4 8 12 12 0 12 8 4 12 4 12 12 0 12 8 12 12 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 8 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 0 0 8 0 8 8 0 8 0 8 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 0 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 0 8 0 8 8 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 0 8 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 0 0 8 0 0 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 8 0 8 8 0 0 0 0 8 8 0 0 0 8 8 8 0 8 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 0 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 8 0 0 8 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+38x^67+137x^68+260x^69+357x^70+616x^71+1270x^72+2174x^73+3826x^74+5006x^75+6567x^76+8184x^77+8380x^78+8438x^79+7040x^80+5220x^81+3411x^82+1952x^83+1210x^84+570x^85+346x^86+154x^87+126x^88+84x^89+48x^90+52x^91+27x^92+18x^93+12x^94+3x^96+2x^97+3x^98+3x^100+1x^102 The gray image is a code over GF(2) with n=624, k=16 and d=268. This code was found by Heurico 1.16 in 68.3 seconds.