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 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 1 1 1 2 1 1 1 4 1 4 1 1 2 4 1 1 8 1 1 1 2 1 4 4 1 4 2 8 1 2 1 8 4 4 1 4 0 2 0 12 0 0 0 4 12 4 8 0 4 12 0 0 4 12 8 8 8 8 4 4 4 4 8 0 4 12 0 4 12 8 8 0 0 4 0 4 12 8 4 8 8 4 4 0 4 4 8 12 8 0 0 12 12 4 0 8 4 0 0 12 0 4 8 4 0 8 4 4 4 0 0 12 4 8 4 12 4 4 0 8 0 8 0 4 8 0 0 0 0 12 0 4 4 12 0 0 4 8 4 0 4 8 4 0 8 4 4 12 0 4 0 12 8 0 0 12 12 12 8 0 4 4 12 8 4 8 8 0 0 12 0 12 4 4 0 12 12 8 8 12 4 12 12 4 0 12 8 4 4 12 4 8 0 12 4 8 12 12 0 12 0 8 8 8 4 8 0 8 0 4 8 4 0 12 8 4 0 0 0 12 4 0 12 4 4 8 0 4 0 12 4 8 4 0 0 12 4 4 8 8 4 12 4 8 8 12 0 4 8 0 0 8 0 12 0 12 4 0 8 8 0 4 0 4 4 12 12 8 12 8 4 0 12 12 0 12 4 4 4 4 12 12 0 4 8 4 8 12 8 0 0 12 4 12 12 8 12 4 8 12 12 8 12 4 12 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 8 8 0 8 0 0 8 8 8 8 0 8 0 0 8 0 8 0 0 8 8 8 0 0 8 8 0 8 8 0 8 8 0 8 8 0 0 0 0 0 8 8 8 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 8 0 0 0 8 8 8 8 0 8 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 8 0 8 8 0 0 8 8 0 0 0 8 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 8 0 8 0 0 8 8 0 0 8 0 0 8 8 0 0 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 0 0 8 0 0 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+165x^80+12x^81+252x^82+100x^83+492x^84+340x^85+732x^86+652x^87+1050x^88+868x^89+960x^90+668x^91+679x^92+300x^93+338x^94+116x^95+184x^96+16x^97+102x^98+79x^100+42x^102+30x^104+6x^106+5x^108+2x^112+1x^132 The gray image is a code over GF(2) with n=712, k=13 and d=320. This code was found by Heurico 1.16 in 3.25 seconds.