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 2 8 1 1 2 4 1 0 1 1 1 1 1 2 1 1 1 1 1 1 12 1 1 2 1 8 12 1 1 0 1 1 2 1 1 1 12 1 1 4 4 1 1 2 0 8 1 1 1 1 2 4 1 1 4 2 2 1 8 0 2 4 0 2 0 6 4 14 12 2 0 8 6 6 4 4 10 2 8 6 10 12 0 0 14 2 12 12 6 6 2 10 6 14 2 10 2 8 12 4 12 6 2 2 10 8 2 8 10 2 10 6 14 12 2 2 8 4 2 10 10 2 2 0 2 2 4 14 4 2 8 2 10 2 2 6 6 2 4 6 2 12 8 2 14 14 2 2 8 10 4 0 0 12 0 4 4 0 4 0 4 8 12 4 8 12 8 0 0 8 0 4 8 4 4 12 4 0 8 4 0 12 4 4 12 8 12 8 8 4 12 4 12 12 0 12 12 8 0 0 0 12 8 12 0 0 12 8 8 0 12 8 8 4 8 4 4 12 4 0 12 8 8 12 0 0 12 0 8 4 0 0 12 12 12 0 4 4 8 4 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 0 8 8 8 0 8 0 0 8 8 8 0 8 0 0 0 0 8 8 0 0 8 8 8 8 8 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 8 0 8 0 8 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 8 0 0 8 8 0 0 8 0 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 8 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 0 0 8 0 8 0 8 0 0 0 0 8 8 8 8 0 0 8 8 0 8 8 0 8 0 0 0 8 0 0 8 8 8 0 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 0 0 8 8 0 0 8 0 8 0 8 8 0 0 8 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 8 8 8 8 8 0 0 8 0 8 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 8 0 8 0 0 0 8 0 0 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 8 0 8 8 0 8 8 8 0 0 0 8 8 0 0 0 8 8 8 0 8 8 8 0 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 79. Homogenous weight enumerator: w(x)=1x^0+34x^79+109x^80+212x^81+365x^82+416x^83+817x^84+920x^85+1162x^86+1560x^87+1724x^88+1964x^89+1657x^90+1630x^91+1154x^92+784x^93+741x^94+390x^95+254x^96+188x^97+123x^98+48x^99+25x^100+24x^101+30x^102+16x^103+8x^104+4x^105+13x^106+2x^107+3x^108+3x^110+2x^114+1x^124 The gray image is a code over GF(2) with n=712, k=14 and d=316. This code was found by Heurico 1.16 in 10.5 seconds.