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 2 8 8 2 1 4 1 1 1 2 1 0 2 1 1 1 1 2 0 1 0 1 4 2 12 1 2 1 1 1 1 1 1 1 8 1 2 8 0 1 2 2 1 1 2 2 1 1 8 1 2 1 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 2 0 14 0 4 14 8 14 0 10 14 2 2 14 12 2 14 10 0 2 4 2 10 12 2 10 8 2 2 2 2 12 2 6 2 4 10 8 6 8 10 6 12 14 2 6 14 4 2 8 8 10 14 0 14 14 8 6 8 14 6 14 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 4 0 4 12 8 12 8 8 4 12 12 4 4 0 0 8 12 8 4 8 0 12 8 12 8 8 0 0 4 0 4 4 4 8 4 8 8 12 4 8 4 8 8 8 0 8 4 0 12 8 8 4 12 8 0 8 0 12 8 4 4 8 4 0 0 0 12 0 0 0 4 12 4 12 8 4 8 12 4 8 8 0 0 12 8 4 12 12 4 0 0 4 4 4 8 12 0 0 4 0 8 4 0 12 12 12 8 0 0 4 8 12 12 8 4 4 8 0 4 4 8 4 0 4 4 4 4 8 12 8 4 12 0 0 4 12 4 12 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 8 8 0 8 8 8 0 8 8 0 0 8 0 8 8 0 0 0 0 8 0 8 0 0 0 8 8 0 0 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 0 0 8 8 8 0 0 0 8 0 8 8 8 0 0 8 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 8 0 8 0 8 8 0 8 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 0 8 8 8 8 8 8 0 8 8 0 0 8 0 0 8 0 0 8 0 8 8 0 8 0 0 8 0 8 8 8 8 0 0 8 8 0 0 8 8 8 8 0 8 0 0 0 0 0 8 0 8 8 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+36x^67+123x^68+202x^69+463x^70+370x^71+952x^72+862x^73+2387x^74+1484x^75+4393x^76+2248x^77+5799x^78+2166x^79+4715x^80+1448x^81+2239x^82+760x^83+932x^84+414x^85+307x^86+146x^87+108x^88+58x^89+49x^90+24x^91+31x^92+16x^93+15x^94+6x^95+8x^96+3x^98+1x^100+2x^106 The gray image is a code over GF(2) with n=624, k=15 and d=268. This code was found by Heurico 1.16 in 28.9 seconds.