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 2 1 1 2 1 2 2 1 2 1 1 2 1 1 2 4 1 1 4 4 1 2 1 1 1 1 1 1 2 1 2 1 1 1 2 8 1 1 2 1 2 1 1 0 1 1 1 4 1 2 1 2 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 0 0 12 8 4 8 0 4 4 4 4 12 12 4 4 12 4 0 0 12 4 8 8 4 4 12 12 0 0 8 12 0 0 4 4 4 4 4 4 0 4 12 4 8 8 0 4 0 8 0 8 8 8 0 4 0 4 4 0 8 0 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 0 12 12 0 0 12 8 12 0 0 12 8 8 4 8 4 0 12 12 4 12 12 12 12 8 8 0 0 0 4 8 0 0 8 0 12 4 0 4 8 12 0 12 8 4 12 8 8 0 4 12 4 4 0 4 8 0 0 4 8 8 0 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 8 8 12 8 8 4 8 0 4 4 4 12 8 12 4 0 4 8 4 4 4 12 12 4 4 8 12 8 12 8 12 0 8 0 8 4 8 8 8 8 12 0 8 12 4 12 12 12 4 12 8 8 8 12 4 0 12 12 8 4 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 0 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 8 8 8 0 0 0 8 0 0 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 0 0 8 8 0 8 8 0 0 0 8 0 0 8 8 8 8 8 8 8 0 0 8 8 0 0 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 8 0 8 8 8 0 8 8 8 0 0 8 8 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 0 8 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 8 0 8 0 0 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 0 0 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 generates a code of length 90 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+28x^78+70x^79+136x^80+166x^81+200x^82+232x^83+300x^84+404x^85+755x^86+562x^87+2422x^88+662x^89+4763x^90+666x^91+2369x^92+532x^93+679x^94+360x^95+251x^96+194x^97+136x^98+100x^99+120x^100+68x^101+71x^102+42x^103+20x^104+18x^105+20x^106+10x^107+11x^108+4x^109+3x^110+6x^111+2x^112+1x^138 The gray image is a code over GF(2) with n=720, k=14 and d=312. This code was found by Heurico 1.16 in 12.1 seconds.