The generator matrix 1 0 1 1 1 6 1 12 1 1 10 1 1 0 1 6 1 1 1 10 1 1 1 12 1 8 1 1 1 14 2 1 1 8 1 1 1 1 14 1 4 1 1 8 1 1 1 2 1 14 4 1 10 1 6 10 1 12 10 1 0 1 2 1 1 1 1 1 14 4 2 1 6 1 8 1 1 1 0 1 11 6 13 1 7 1 8 1 1 14 4 1 13 1 2 11 7 1 8 1 2 1 6 1 3 0 5 1 1 6 9 1 15 5 10 0 1 3 1 10 13 1 10 3 3 1 8 1 1 6 1 11 1 1 1 1 1 13 1 7 1 2 8 1 0 7 1 1 6 8 1 4 1 2 12 8 0 0 12 0 4 0 4 0 4 4 0 4 4 12 8 12 8 8 0 4 0 0 12 12 0 4 0 4 8 8 0 4 8 8 8 4 8 4 12 12 12 0 8 12 12 4 4 4 0 0 8 0 0 12 4 8 4 12 4 0 4 4 0 0 4 0 12 12 12 8 12 0 8 0 4 4 12 8 0 0 0 12 0 0 0 0 8 8 0 8 0 12 12 4 12 12 12 4 4 12 0 12 8 8 0 12 0 12 4 4 0 12 8 12 8 4 8 12 8 8 4 0 4 12 4 0 12 12 12 0 4 4 4 0 8 12 12 0 8 0 0 4 12 4 0 8 12 4 4 0 8 8 8 8 12 12 0 0 0 0 8 0 0 0 0 0 8 8 8 0 8 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 8 8 0 8 8 8 0 0 8 8 0 0 8 0 8 0 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 0 8 8 0 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 0 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 0 8 0 0 0 0 8 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 0 0 8 0 8 8 0 0 8 0 8 0 0 8 0 8 8 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 0 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+72x^69+152x^70+280x^71+668x^72+1124x^73+1718x^74+2700x^75+3493x^76+4020x^77+4375x^78+4184x^79+3584x^80+2572x^81+1592x^82+1064x^83+582x^84+232x^85+134x^86+60x^87+39x^88+40x^89+18x^90+20x^91+12x^92+4x^93+11x^94+12x^95+3x^96+1x^104+1x^108 The gray image is a code over GF(2) with n=624, k=15 and d=276. This code was found by Heurico 1.16 in 19.1 seconds.