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 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 4 2 2 4 2 2 2 4 2 2 0 1 4 0 1 2 0 1 1 1 2 1 8 1 1 1 2 4 1 1 2 4 1 2 1 2 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 4 12 4 4 8 4 0 8 8 12 12 8 4 4 4 12 0 8 8 0 8 8 4 8 12 4 12 0 4 4 0 8 8 12 4 4 12 0 0 4 8 4 4 4 0 0 8 4 4 8 4 0 0 4 8 12 8 12 0 12 12 12 8 12 8 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 8 12 12 0 4 8 8 4 4 0 12 12 8 12 12 0 0 8 8 8 12 4 12 8 8 4 12 0 0 8 8 4 4 4 4 12 12 4 8 12 0 8 4 4 12 4 0 0 8 12 8 4 4 12 8 4 4 12 12 8 0 4 0 8 0 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 12 4 4 12 0 12 8 12 4 8 8 0 0 4 8 4 4 12 8 4 8 12 4 4 12 0 8 12 8 12 8 4 4 12 4 0 0 12 12 12 0 0 8 4 4 4 12 4 12 8 4 4 12 8 12 12 12 4 12 0 0 0 8 12 4 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 4 4 8 0 12 8 0 12 0 8 8 12 4 8 4 0 0 0 8 12 8 8 12 4 4 0 0 0 8 8 12 4 12 8 0 12 12 0 0 0 12 12 4 0 0 4 8 4 0 0 8 8 12 8 0 0 4 0 4 8 8 0 12 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 8 8 8 0 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 8 8 0 8 0 0 8 0 8 0 8 0 8 8 0 8 8 0 0 0 8 8 8 0 0 8 0 8 8 8 8 8 0 0 8 0 0 8 8 0 8 8 8 8 0 0 8 0 0 0 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 0 8 8 0 8 8 8 0 0 8 0 8 0 8 8 8 0 8 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 8 0 8 8 8 0 8 0 0 0 0 8 8 0 8 0 generates a code of length 85 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+65x^72+76x^73+158x^74+256x^75+350x^76+424x^77+546x^78+668x^79+943x^80+1558x^81+2253x^82+3186x^83+3937x^84+4124x^85+3816x^86+3184x^87+2348x^88+1576x^89+951x^90+628x^91+452x^92+320x^93+237x^94+188x^95+178x^96+102x^97+75x^98+74x^99+45x^100+12x^101+23x^102+8x^103+1x^104+3x^106+1x^110+1x^118 The gray image is a code over GF(2) with n=680, k=15 and d=288. This code was found by Heurico 1.16 in 40.2 seconds.