The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 0 1 1 1 6 1 12 1 1 1 1 10 1 10 1 1 1 0 1 12 1 6 1 1 1 1 1 1 6 0 1 12 1 10 1 1 1 1 1 0 1 0 6 1 12 10 1 1 1 1 1 1 1 1 1 0 1 1 1 1 6 6 1 1 12 1 1 1 0 1 1 1 1 1 0 0 1 0 1 3 6 5 1 12 7 1 10 9 1 1 0 5 6 1 3 1 12 15 10 9 1 3 1 0 5 6 1 5 1 10 1 15 12 9 10 3 0 1 1 15 1 6 1 9 12 5 6 0 1 9 1 1 12 1 1 3 5 15 3 10 9 0 15 0 1 6 0 10 10 1 1 6 9 1 3 8 12 1 14 15 7 3 5 1 1 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 0 8 8 0 8 0 0 8 8 8 8 8 8 0 8 0 0 8 8 8 0 0 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 0 8 0 0 0 8 8 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 0 0 8 8 8 8 8 8 0 8 8 0 0 8 0 8 0 8 8 0 8 8 8 8 8 8 0 0 8 8 0 0 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 0 0 8 0 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 8 0 8 0 8 0 8 0 8 0 0 0 8 0 8 0 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 0 8 0 0 0 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 0 8 8 0 8 0 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 8 0 8 0 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 0 8 0 8 8 0 8 0 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 8 0 0 0 8 8 8 8 0 8 0 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 8 8 8 8 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 0 8 8 8 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 8 8 8 8 8 8 0 8 0 0 8 0 0 8 8 8 8 8 8 8 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 8 8 0 8 0 8 0 8 8 8 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 0 0 8 8 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 0 0 0 8 0 0 0 8 8 8 0 0 8 8 0 8 8 8 8 0 8 0 0 0 8 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+32x^78+50x^79+95x^80+250x^81+235x^82+970x^83+737x^84+2360x^85+1915x^86+4100x^87+3167x^88+5020x^89+3170x^90+4100x^91+1901x^92+2360x^93+708x^94+970x^95+189x^96+250x^97+55x^98+50x^99+29x^100+8x^102+16x^104+9x^106+3x^108+8x^110+3x^112+2x^114+2x^116+1x^118+1x^120+1x^122 The gray image is a code over GF(2) with n=712, k=15 and d=312. This code was found by Heurico 1.16 in 21.6 seconds.