The generator matrix 1 0 1 1 1 6 1 1 8 1 1 14 1 1 4 10 1 1 1 1 2 1 1 12 1 1 1 0 6 1 8 1 1 1 14 1 1 1 12 1 1 1 1 4 2 1 1 1 1 1 14 4 1 1 1 0 1 2 1 8 1 1 1 1 2 0 8 1 1 1 1 1 1 1 4 1 2 0 0 1 11 6 13 1 12 7 1 10 1 1 8 3 1 1 14 5 15 14 1 4 9 1 4 3 2 1 1 13 1 5 6 1 1 8 11 15 1 10 2 5 0 1 1 7 4 3 13 8 1 1 10 5 5 1 11 6 6 1 6 12 9 15 1 8 1 13 4 10 0 5 12 1 1 10 14 1 0 0 12 0 4 0 0 4 4 8 4 4 4 0 12 0 12 8 8 12 4 4 8 8 12 0 12 0 0 12 4 8 8 12 4 4 12 8 8 0 12 8 0 12 12 4 12 0 4 4 4 12 0 0 12 0 4 4 0 12 0 0 8 8 4 4 0 4 0 4 8 12 8 8 12 0 4 0 0 0 0 8 0 0 0 0 0 8 0 8 0 8 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 8 8 8 8 8 0 0 8 8 0 0 8 0 0 0 0 8 0 8 0 0 8 0 8 0 8 0 0 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 8 8 8 0 0 0 8 0 8 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 0 0 0 0 8 0 8 8 0 0 8 0 8 0 0 8 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 8 8 8 0 0 0 8 0 8 8 0 0 0 8 8 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 8 8 8 0 8 0 0 8 8 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 0 8 8 0 0 8 0 0 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 8 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 8 0 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 0 8 8 8 0 8 8 0 0 8 8 8 8 0 8 8 8 0 0 0 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+50x^68+60x^69+199x^70+344x^71+766x^72+1152x^73+1619x^74+2602x^75+3588x^76+4034x^77+4002x^78+4132x^79+3624x^80+2624x^81+1615x^82+1010x^83+594x^84+286x^85+195x^86+86x^87+68x^88+22x^89+33x^90+12x^91+8x^92+12x^93+12x^94+6x^95+3x^96+2x^97+5x^98+2x^104 The gray image is a code over GF(2) with n=624, k=15 and d=272. This code was found by Heurico 1.16 in 18.2 seconds.