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 1 2 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 2 1 4 1 1 2 1 1 1 1 2 0 4 2 1 2 2 2 2 1 0 1 1 1 4 1 1 1 1 0 12 0 4 0 0 4 12 0 8 4 4 0 4 4 8 0 8 12 12 4 4 8 0 4 8 12 0 8 0 4 12 4 0 12 4 0 0 8 4 4 4 8 8 12 8 12 4 12 0 8 12 8 4 0 12 4 4 4 12 4 0 12 0 12 12 0 4 12 8 4 12 12 4 0 12 0 0 0 0 12 4 0 12 4 0 8 4 0 4 0 12 0 4 8 4 4 0 0 4 8 12 12 12 8 0 8 12 4 8 12 0 8 12 8 12 12 0 8 4 0 0 8 4 12 4 4 12 12 0 12 8 12 0 8 4 0 8 8 12 0 0 4 12 4 12 0 4 8 12 12 12 8 12 8 0 0 0 0 8 0 0 0 0 8 8 8 0 8 8 0 0 8 0 0 8 0 8 0 8 8 8 8 8 0 0 8 0 0 0 0 8 8 0 8 0 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 0 8 8 8 0 0 8 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 0 0 8 8 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 8 8 8 0 0 0 8 0 0 8 8 8 0 8 0 8 8 8 8 0 8 0 0 8 0 0 8 8 0 8 0 8 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 8 8 8 8 0 0 8 0 0 0 0 0 8 8 0 0 0 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 8 0 0 0 8 0 8 8 8 0 0 8 0 0 8 8 0 0 8 0 8 8 8 0 0 0 8 8 8 8 8 0 0 8 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 0 8 8 0 8 8 0 8 0 8 0 0 0 0 8 8 8 8 0 8 8 8 0 8 8 0 0 8 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 0 8 0 8 0 8 8 8 generates a code of length 78 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+41x^68+72x^69+92x^70+94x^71+175x^72+170x^73+279x^74+564x^75+824x^76+1166x^77+1345x^78+1184x^79+824x^80+524x^81+227x^82+160x^83+129x^84+84x^85+66x^86+30x^87+35x^88+26x^89+28x^90+12x^91+14x^92+6x^93+9x^94+4x^95+5x^96+1x^98+1x^122 The gray image is a code over GF(2) with n=624, k=13 and d=272. This code was found by Heurico 1.16 in 2.6 seconds.