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 2 1 1 2 1 1 1 1 0 1 1 1 1 1 1 1 2 1 1 2 8 1 12 1 1 2 0 1 12 1 1 2 2 1 2 8 8 12 1 0 2 4 2 4 1 1 2 0 2 0 6 4 14 12 2 0 6 12 10 8 14 12 2 0 14 8 14 4 2 12 10 12 2 6 12 14 0 12 14 14 14 2 8 0 10 2 2 10 8 0 10 4 12 0 6 6 2 14 2 2 2 10 2 10 0 2 2 10 2 2 0 0 14 2 2 2 14 2 2 2 14 2 8 2 8 0 0 12 0 4 4 0 4 0 8 0 8 12 12 12 4 8 8 4 12 4 4 8 0 12 4 4 0 0 0 4 4 4 12 4 4 12 0 0 8 4 4 4 8 12 0 0 8 4 12 4 12 0 8 0 4 8 4 8 8 0 0 12 4 8 12 4 4 8 0 0 12 4 12 4 12 4 4 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 0 0 8 8 8 0 8 0 0 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 8 8 0 8 8 8 0 0 0 8 8 0 0 8 8 0 0 0 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 8 0 8 0 0 0 0 8 0 0 0 8 8 0 8 8 8 0 8 8 8 0 0 0 0 8 0 0 0 8 8 0 0 0 0 0 8 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 8 8 0 0 0 8 8 8 8 0 0 8 8 0 0 8 8 8 8 0 0 8 0 8 8 0 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 8 0 8 0 8 8 0 8 8 8 8 8 0 8 0 0 0 8 8 0 0 0 8 0 0 0 0 0 0 8 8 8 8 0 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+76x^70+64x^71+363x^72+204x^73+629x^74+376x^75+1078x^76+652x^77+1430x^78+632x^79+1107x^80+356x^81+557x^82+200x^83+200x^84+68x^85+91x^86+8x^87+58x^88+26x^90+5x^92+7x^94+2x^96+1x^100+1x^112 The gray image is a code over GF(2) with n=624, k=13 and d=280. This code was found by Heurico 1.16 in 2.26 seconds.