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 2 2 1 2 1 1 1 1 2 1 2 4 1 4 1 1 0 2 1 1 1 1 1 2 4 1 1 1 2 2 1 2 4 4 1 2 4 2 2 4 8 1 2 1 2 2 1 1 1 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 8 4 0 0 12 12 12 4 8 0 8 12 12 4 8 4 0 8 12 4 4 12 8 8 12 4 4 0 12 12 8 8 4 4 4 8 0 12 4 0 4 4 12 8 8 12 8 4 12 12 4 8 8 8 12 4 0 0 4 0 12 8 4 12 12 8 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 12 8 8 0 0 12 12 4 4 4 4 4 12 0 12 12 4 8 12 4 4 0 0 8 4 8 12 8 0 0 0 8 0 12 12 0 8 8 12 4 8 4 4 8 0 12 4 8 12 8 12 12 12 0 4 0 12 0 4 4 4 8 0 4 4 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 8 12 0 4 0 4 8 4 8 12 4 0 0 12 4 0 0 8 0 8 8 4 0 0 12 12 8 0 8 4 8 0 4 8 8 4 4 4 8 0 8 4 0 4 8 8 12 8 12 4 4 12 4 8 8 4 12 8 0 12 8 4 8 8 8 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 8 0 0 0 8 0 8 0 8 0 8 0 0 0 0 0 8 8 0 8 8 8 0 8 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 8 8 0 8 8 0 0 8 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 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 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 0 8 0 0 8 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 0 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 0 8 8 0 8 0 8 0 8 0 0 0 8 0 8 8 8 8 8 0 8 8 0 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 8 8 8 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 0 0 0 8 0 8 8 8 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 8 0 8 8 0 0 8 0 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 8 8 0 8 0 0 8 0 8 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 0 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+119x^78+382x^80+52x^81+446x^82+140x^83+709x^84+468x^85+1606x^86+1408x^87+1653x^88+2008x^89+2535x^90+1384x^91+1314x^92+520x^93+551x^94+128x^95+362x^96+20x^97+256x^98+12x^99+149x^100+4x^101+92x^102+33x^104+27x^106+4x^108+1x^128 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 12.3 seconds.