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 2 2 2 1 2 1 2 2 1 1 1 2 1 1 2 4 2 0 2 1 1 1 1 2 1 2 1 1 1 0 1 1 0 1 0 1 1 1 1 1 2 4 1 2 2 1 1 4 4 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 8 4 4 8 12 0 0 4 12 4 4 8 0 8 12 8 0 0 12 12 12 0 4 8 0 0 8 12 12 12 8 0 8 12 4 0 12 4 0 8 4 0 8 0 8 4 12 4 4 4 8 4 4 8 4 12 0 4 12 0 4 12 4 0 4 8 4 4 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 12 12 0 8 12 12 4 8 0 8 8 4 0 4 12 0 0 0 8 0 0 0 4 0 0 0 4 12 12 4 8 12 4 4 12 0 8 4 8 0 8 12 8 8 12 8 4 4 12 4 4 12 0 12 12 4 0 4 0 12 12 0 12 12 8 0 0 8 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 8 8 12 12 8 4 8 4 4 4 8 0 4 4 0 8 12 12 8 4 12 12 8 0 0 4 12 8 0 4 12 4 0 8 4 8 4 0 0 12 0 8 4 0 12 8 0 12 8 8 8 0 8 12 0 4 0 0 0 12 4 12 4 4 4 4 8 0 8 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 0 8 4 8 4 4 12 0 12 4 0 8 12 4 8 4 0 4 8 12 0 12 4 12 8 12 12 4 12 12 0 12 12 4 8 12 8 4 0 8 8 12 12 12 12 0 8 4 12 0 12 12 12 4 8 8 4 0 8 12 8 4 4 4 12 12 4 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 8 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 8 8 8 8 8 0 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 0 8 8 8 8 8 0 8 8 8 0 8 8 0 8 0 8 8 8 0 8 0 0 8 8 8 0 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+127x^78+340x^80+24x^81+480x^82+120x^83+714x^84+436x^85+1209x^86+1388x^87+2370x^88+2188x^89+2279x^90+1444x^91+1288x^92+396x^93+548x^94+116x^95+325x^96+28x^97+252x^98+4x^99+135x^100+75x^102+60x^104+21x^106+14x^108+1x^110+1x^132 The gray image is a code over GF(2) with n=712, k=14 and d=312. This code was found by Heurico 1.16 in 11.8 seconds.