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 2 8 1 0 2 1 1 12 2 4 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 8 1 1 0 1 2 1 1 4 2 1 1 1 2 1 2 1 4 1 1 1 8 1 0 2 1 1 1 0 2 0 6 4 14 12 2 0 6 8 10 12 6 6 12 2 0 10 10 12 8 4 14 6 2 0 2 10 8 14 2 14 2 10 12 14 2 10 10 2 0 12 4 4 14 6 10 12 8 2 8 4 2 10 14 12 8 2 2 10 10 2 6 8 2 2 8 6 14 12 2 12 4 0 8 14 0 0 0 12 0 4 4 0 4 0 8 12 8 0 4 0 4 12 0 4 0 8 12 4 8 8 12 4 8 0 0 4 8 4 4 8 0 4 4 0 12 4 8 12 4 0 0 0 12 8 12 4 4 8 8 8 4 4 8 12 12 12 12 12 0 12 4 8 4 0 8 4 4 4 0 12 8 12 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 8 0 8 0 8 0 0 0 8 0 8 0 0 0 0 8 8 0 8 0 0 8 8 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 0 8 8 0 0 8 0 0 8 0 0 8 0 8 0 0 0 8 8 8 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 0 8 0 0 0 8 0 0 8 0 8 0 8 0 8 8 8 0 8 8 8 8 8 8 8 8 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 8 0 8 8 8 0 8 0 0 8 0 0 8 0 8 0 8 8 8 0 0 0 8 8 0 0 8 0 8 0 8 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 8 8 0 8 0 8 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 8 8 0 8 8 8 0 0 0 8 0 8 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+28x^68+90x^69+109x^70+322x^71+317x^72+618x^73+923x^74+1152x^75+1972x^76+1476x^77+2601x^78+1386x^79+1966x^80+1090x^81+867x^82+634x^83+276x^84+276x^85+68x^86+72x^87+29x^88+24x^89+25x^90+14x^91+10x^92+6x^93+13x^94+4x^95+7x^96+4x^97+1x^98+1x^100+1x^102+1x^116 The gray image is a code over GF(2) with n=624, k=14 and d=272. This code was found by Heurico 1.16 in 8 seconds.