The generator matrix 1 0 1 1 1 6 1 1 14 1 12 1 1 1 0 1 2 1 1 14 1 12 1 1 1 1 8 1 2 1 1 1 6 1 1 1 14 1 4 1 6 1 0 1 12 1 1 4 1 14 1 1 1 1 1 1 1 1 1 4 1 1 8 6 1 1 12 1 1 4 1 1 1 1 1 4 1 2 1 1 1 1 1 2 2 2 0 1 1 0 1 11 6 1 1 0 11 1 14 1 5 15 0 1 14 1 5 12 1 1 1 14 7 5 8 1 7 1 6 4 9 1 7 2 1 1 4 1 6 1 3 1 3 1 10 3 1 4 1 0 15 15 12 6 1 10 5 5 1 7 0 1 1 5 14 1 15 12 1 12 13 6 8 11 1 13 1 1 11 3 3 14 1 8 10 1 0 8 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 0 8 12 12 12 12 4 12 12 12 12 4 12 4 12 12 8 12 4 4 12 12 12 8 12 0 4 4 12 0 4 8 4 12 12 12 12 8 8 8 8 0 4 8 12 4 12 12 0 12 8 8 4 0 0 0 4 4 4 4 0 0 0 12 0 0 0 0 8 4 8 12 12 12 12 0 12 8 4 12 4 4 8 4 8 12 12 4 0 12 0 12 12 12 0 12 4 4 8 4 12 0 12 0 8 8 12 12 12 8 4 0 12 8 4 4 4 8 12 4 0 4 12 4 12 0 4 4 4 8 8 0 0 8 4 12 4 0 8 8 8 0 4 8 0 0 12 12 0 0 0 0 0 4 0 4 0 4 4 12 4 8 0 0 8 4 8 12 8 0 4 4 12 4 8 12 8 12 12 8 4 12 8 4 8 8 12 12 8 0 12 12 12 4 8 4 12 4 0 8 0 8 0 0 0 0 12 12 8 12 4 4 4 12 4 8 0 0 8 0 8 4 8 0 4 0 12 12 12 4 8 4 4 12 4 0 0 4 0 0 0 0 0 12 4 12 8 4 4 0 4 12 4 12 4 0 8 8 0 0 8 4 12 0 4 8 0 0 4 12 12 0 12 4 12 8 4 8 8 4 12 8 0 8 4 0 4 8 12 8 4 4 12 0 8 8 12 4 12 4 0 0 0 8 8 8 12 0 12 8 12 8 12 4 0 8 0 8 0 12 12 0 0 8 8 0 4 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+92x^78+32x^79+380x^80+244x^81+1108x^82+1164x^83+2532x^84+3400x^85+5256x^86+6548x^87+8128x^88+7856x^89+8210x^90+6748x^91+5255x^92+3296x^93+2314x^94+1148x^95+951x^96+236x^97+282x^98+40x^99+130x^100+8x^101+84x^102+46x^104+28x^106+10x^108+2x^110+5x^112+1x^116+1x^120 The gray image is a code over GF(2) with n=712, k=16 and d=312. This code was found by Heurico 1.16 in 81 seconds.