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 2 0 1 2 12 1 1 1 1 2 0 2 12 1 1 1 1 2 0 1 1 2 12 1 1 1 1 1 1 1 2 2 1 0 1 1 1 1 12 1 1 0 1 1 1 1 0 1 12 1 12 1 1 0 1 1 1 2 1 1 0 2 12 6 0 6 12 10 0 6 12 10 4 14 0 10 10 12 6 0 10 8 12 6 2 6 10 2 0 12 10 6 6 2 10 2 10 12 6 6 6 2 10 0 10 2 6 12 0 0 10 6 10 6 10 14 2 8 12 6 4 2 0 4 2 14 6 14 12 2 2 2 8 2 2 0 2 10 10 10 6 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 8 8 8 8 0 8 8 8 0 0 8 0 0 0 0 8 0 0 8 0 0 0 0 8 0 8 8 0 0 8 0 8 0 0 8 8 0 8 8 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 8 0 8 0 0 0 0 0 8 8 0 0 8 8 8 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 8 0 0 8 0 8 0 8 8 0 8 0 8 8 0 0 0 0 8 0 8 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 8 8 0 8 8 0 0 0 8 8 8 8 0 0 0 0 8 8 0 0 8 0 0 0 0 8 0 8 8 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 8 8 8 0 8 0 8 8 0 8 0 0 8 0 0 8 0 8 0 0 8 8 0 8 8 8 0 0 8 0 8 0 0 8 0 0 8 8 0 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 8 8 8 8 0 8 8 8 0 0 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 0 8 8 8 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 8 8 8 0 8 0 0 0 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 8 0 8 8 8 8 0 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 8 8 8 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 8 0 0 0 8 8 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 0 8 8 8 8 0 8 8 8 0 0 8 8 0 0 0 0 0 8 generates a code of length 83 over Z16 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+40x^70+10x^71+98x^72+124x^73+194x^74+312x^75+416x^76+684x^77+1025x^78+1606x^79+2453x^80+3288x^81+4009x^82+4336x^83+4008x^84+3288x^85+2447x^86+1606x^87+1003x^88+684x^89+376x^90+312x^91+143x^92+124x^93+55x^94+10x^95+35x^96+23x^98+22x^100+17x^102+9x^104+5x^106+3x^108+1x^112+1x^122 The gray image is a code over GF(2) with n=664, k=15 and d=280. This code was found by Heurico 1.16 in 31.7 seconds.