The generator matrix 1 0 1 1 1 6 1 1 12 1 1 14 1 1 2 1 1 8 1 4 1 1 10 1 1 2 1 14 1 1 0 1 0 1 1 1 14 1 1 1 12 1 2 1 1 1 12 1 6 10 2 4 1 1 1 1 1 1 1 14 1 14 4 1 1 1 1 0 1 1 1 1 8 1 1 12 4 1 1 10 8 4 6 1 14 6 1 4 1 0 1 11 6 13 1 8 7 1 14 5 1 12 9 1 10 3 1 2 1 15 4 1 1 11 1 0 1 14 13 1 2 1 3 4 1 1 9 12 2 1 15 1 13 7 4 1 10 1 1 1 1 13 3 0 4 9 14 2 1 0 1 1 2 3 9 15 1 5 7 5 5 2 8 8 1 1 15 10 1 1 1 1 12 1 1 15 1 0 0 0 12 0 4 0 4 4 8 4 0 12 8 8 4 0 0 4 12 4 8 12 8 12 12 12 0 12 12 12 0 8 12 0 12 4 4 0 8 4 4 8 12 8 4 4 8 8 0 8 4 12 12 12 0 0 12 4 4 8 4 8 4 0 0 0 0 8 0 0 4 4 8 12 4 8 8 8 0 4 4 4 8 8 8 8 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 8 8 8 0 8 8 0 0 8 8 8 0 8 8 8 0 0 8 0 0 8 0 8 0 8 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 0 8 8 8 8 0 8 0 8 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 0 8 0 8 8 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 8 0 0 8 0 8 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 0 8 8 0 0 8 8 8 8 0 0 8 8 8 8 8 8 0 0 0 8 8 8 0 0 0 8 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 82. Homogenous weight enumerator: w(x)=1x^0+35x^82+218x^83+285x^84+768x^85+495x^86+1144x^87+581x^88+1156x^89+647x^90+1132x^91+528x^92+738x^93+149x^94+192x^95+69x^96+18x^97+9x^98+2x^99+3x^100+2x^101+3x^102+4x^104+2x^105+4x^106+4x^109+1x^110+1x^120+1x^122 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 1.92 seconds.