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 0 1 1 1 2 1 0 1 1 1 1 1 1 1 1 8 2 1 1 1 1 1 4 1 2 1 1 8 1 2 1 2 1 2 1 2 1 1 2 1 4 1 1 8 1 12 1 2 12 1 2 1 8 2 12 1 12 1 0 2 0 2 0 8 2 10 8 2 12 14 0 10 4 6 4 6 4 14 12 2 6 0 0 2 12 2 8 0 6 2 2 6 12 8 10 2 8 6 10 10 14 12 8 12 12 10 0 12 6 2 4 0 8 10 14 4 2 2 14 12 12 6 6 10 12 14 6 14 4 2 6 10 2 2 2 6 12 0 12 10 4 2 14 2 8 2 0 0 0 2 2 12 14 6 12 0 2 10 12 4 14 14 8 4 10 10 4 4 8 6 6 10 8 8 14 14 4 6 0 4 10 14 2 0 10 14 8 2 4 8 0 12 4 2 8 14 0 12 10 6 2 2 10 0 10 14 2 12 0 2 10 6 10 10 12 12 2 14 0 12 12 14 0 12 12 14 2 10 8 2 2 0 10 10 2 0 0 0 0 4 0 0 12 8 4 8 12 12 12 8 4 12 8 4 8 0 12 12 0 8 4 0 0 12 4 12 12 0 4 0 12 8 4 12 0 4 0 4 0 8 8 8 0 8 4 12 4 0 8 12 4 12 8 8 4 8 12 0 4 8 0 12 8 8 0 12 12 12 4 0 8 8 4 8 4 4 0 4 4 4 8 8 8 12 12 0 0 0 0 8 8 8 8 0 0 0 8 8 8 8 0 0 8 0 0 8 0 8 8 8 8 8 0 0 0 8 8 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 8 8 0 8 0 0 0 8 0 8 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 0 0 8 8 8 8 0 0 8 8 0 0 8 0 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+100x^82+240x^83+477x^84+484x^85+806x^86+716x^87+1017x^88+884x^89+1098x^90+636x^91+547x^92+332x^93+274x^94+124x^95+152x^96+116x^97+78x^98+44x^99+39x^100+8x^101+10x^102+6x^104+2x^110+1x^132 The gray image is a code over GF(2) with n=712, k=13 and d=328. This code was found by Heurico 1.16 in 2.64 seconds.