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 1 1 1 1 1 1 1 2 2 2 4 4 1 2 2 1 1 1 8 1 4 8 2 1 4 2 1 1 1 1 2 4 4 2 4 1 4 0 4 1 1 2 8 1 1 2 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 8 0 12 4 4 8 12 0 8 8 8 0 4 4 12 12 8 8 8 4 0 0 4 4 8 12 4 0 4 12 8 0 0 12 4 4 0 4 4 0 4 0 4 12 8 8 8 8 8 12 8 4 0 4 4 8 8 4 4 12 12 8 8 8 8 8 4 12 0 12 8 12 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 8 4 12 8 12 4 0 4 4 8 0 0 0 0 8 12 8 8 0 12 4 12 0 4 0 8 4 12 12 4 0 12 12 12 0 12 0 4 8 4 8 0 8 0 0 4 8 12 12 8 4 12 0 0 0 12 12 0 8 0 8 8 12 0 4 0 12 4 0 0 8 4 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 0 4 8 4 4 8 12 8 8 12 12 12 4 4 0 12 12 12 4 8 4 4 8 0 12 12 8 4 12 8 0 12 12 0 12 8 8 12 12 4 12 8 0 4 8 4 4 12 4 4 4 4 8 4 12 4 8 12 4 4 4 0 12 4 12 4 8 8 0 8 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 4 0 4 0 8 12 12 8 12 8 0 0 8 0 4 0 8 4 12 8 12 12 4 12 8 12 4 0 4 0 12 8 4 8 4 12 0 8 0 8 8 0 4 0 0 4 12 0 0 4 0 0 4 12 4 8 8 12 0 4 0 8 12 4 12 0 12 4 12 0 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 0 0 8 8 8 8 8 8 0 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 8 8 8 0 0 8 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 0 8 8 0 8 0 0 0 8 8 0 8 0 0 0 0 8 0 0 0 8 8 8 0 8 8 8 8 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 8 8 0 8 0 8 8 0 8 8 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 8 0 8 0 0 0 8 0 8 8 8 8 8 0 8 8 8 8 8 0 8 0 0 8 8 0 0 0 8 0 8 0 8 8 8 0 8 8 0 0 8 8 generates a code of length 90 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+207x^78+520x^80+32x^81+721x^82+232x^83+1058x^84+968x^85+1994x^86+1916x^87+3564x^88+2824x^89+4551x^90+3192x^91+3618x^92+2072x^93+1899x^94+768x^95+922x^96+248x^97+575x^98+32x^99+417x^100+236x^102+4x^103+118x^104+49x^106+18x^108+8x^110+3x^112+1x^132 The gray image is a code over GF(2) with n=720, k=15 and d=312. This code was found by Heurico 1.16 in 88.6 seconds.