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 8 2 0 1 2 1 4 2 1 1 1 12 4 2 1 8 2 1 1 1 1 2 1 1 0 0 1 1 1 1 8 1 1 1 1 2 4 0 1 1 1 1 8 1 2 1 1 1 4 1 8 1 1 0 2 0 6 4 6 12 2 8 6 12 14 0 2 4 10 2 0 14 0 14 4 8 14 2 0 2 14 2 14 6 10 2 6 12 2 12 2 2 10 0 2 14 14 12 6 10 14 8 0 2 2 0 10 2 2 2 12 0 2 8 6 2 8 14 4 6 4 8 6 14 10 0 2 4 10 2 0 0 0 0 12 0 4 0 0 0 8 4 4 4 4 4 0 4 0 4 12 8 8 12 8 4 0 12 4 12 0 8 0 12 12 12 0 8 12 8 8 4 4 12 8 4 8 4 0 8 4 0 4 4 0 4 12 12 12 12 0 4 0 4 0 8 0 12 0 4 4 4 4 12 8 4 0 0 4 8 0 0 0 0 12 0 0 0 4 12 4 12 8 4 8 12 4 8 8 0 0 8 12 4 12 4 12 8 0 0 12 8 4 8 12 12 12 0 0 4 12 0 8 4 12 0 0 0 12 4 4 12 12 8 8 12 12 8 4 12 0 4 12 4 4 0 0 0 0 8 8 12 0 8 0 12 4 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 8 8 0 8 0 0 0 8 8 8 0 8 0 8 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 0 0 8 8 8 8 8 0 0 8 8 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 0 8 8 8 8 8 8 8 8 8 0 0 8 8 0 0 0 8 8 0 8 0 8 0 0 8 0 8 8 8 0 0 0 8 8 0 0 0 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 0 8 0 0 8 0 8 8 0 0 0 8 0 0 8 0 8 0 8 8 0 8 0 0 8 8 8 8 0 0 8 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 8 8 0 8 8 8 0 8 8 0 8 0 8 8 8 8 0 0 8 0 8 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 8 8 8 0 8 8 0 0 0 8 0 0 8 generates a code of length 79 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+54x^68+110x^69+212x^70+398x^71+481x^72+836x^73+963x^74+2070x^75+1829x^76+4150x^77+2684x^78+5340x^79+2643x^80+4284x^81+1791x^82+2056x^83+902x^84+724x^85+386x^86+328x^87+177x^88+102x^89+85x^90+40x^91+47x^92+32x^93+14x^94+6x^95+10x^96+2x^97+8x^98+2x^99+1x^114 The gray image is a code over GF(2) with n=632, k=15 and d=272. This code was found by Heurico 1.16 in 29.5 seconds.