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 2 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 12 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 0 1 1 2 12 1 1 1 1 0 2 2 1 12 1 2 1 2 1 0 2 1 4 0 2 12 6 0 6 12 10 0 6 12 10 10 4 6 0 14 8 10 12 6 0 10 12 12 2 6 0 6 4 10 8 14 2 0 6 6 12 14 4 10 8 14 0 6 0 2 12 14 6 4 10 10 0 2 10 6 4 8 8 4 4 12 4 2 8 12 10 2 2 10 6 14 2 6 10 0 2 14 10 4 6 10 2 6 6 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 8 8 0 8 0 0 0 8 8 0 8 0 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 0 0 8 0 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 8 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 8 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 8 0 0 8 0 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 0 8 8 8 8 8 8 0 0 0 8 8 0 8 0 8 8 8 0 0 0 0 8 0 0 0 8 0 0 8 8 0 0 8 0 8 0 8 0 8 0 8 0 0 8 0 8 8 8 0 8 0 8 8 8 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 0 8 8 8 8 8 8 8 0 0 8 8 8 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 0 8 8 8 8 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 8 0 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 8 8 8 8 8 0 0 8 0 0 0 0 8 8 8 8 8 0 0 8 0 0 0 0 8 8 0 8 8 0 0 8 0 0 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 8 0 8 0 0 8 8 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 8 8 0 8 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 8 0 8 0 0 8 0 8 0 0 8 8 0 0 8 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 0 0 0 0 0 8 8 8 generates a code of length 87 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+64x^78+88x^79+121x^80+256x^81+145x^82+532x^83+402x^84+1036x^85+816x^86+1316x^87+824x^88+1004x^89+412x^90+540x^91+128x^92+260x^93+67x^94+84x^95+42x^96+4x^97+23x^98+12x^100+4x^102+4x^104+4x^106+1x^108+1x^110+1x^140 The gray image is a code over GF(2) with n=696, k=13 and d=312. This code was found by Heurico 1.16 in 4.3 seconds.