The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 0 1 1 1 6 1 1 12 1 10 1 1 1 0 1 1 1 6 1 12 1 1 1 10 1 0 1 1 1 1 1 1 6 6 1 1 1 1 1 1 12 10 1 1 0 10 1 1 10 1 1 12 6 1 1 1 1 1 0 1 6 0 1 1 1 2 0 1 3 6 5 1 12 7 1 10 9 1 1 6 3 0 1 5 10 1 15 1 9 12 9 1 10 3 0 1 5 1 12 15 6 1 3 1 5 12 15 6 9 9 1 1 0 3 15 10 12 5 1 1 0 9 1 1 15 6 1 9 10 1 1 1 6 3 3 10 1 3 1 1 0 0 6 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 0 8 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 0 8 8 0 8 0 0 0 8 0 0 8 8 8 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 0 0 8 8 0 0 8 8 8 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 8 8 0 8 8 8 0 0 8 8 8 8 8 0 8 0 0 0 0 8 8 0 8 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 8 0 0 8 8 8 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 8 8 0 8 8 0 0 0 0 8 0 8 8 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 0 8 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 0 8 0 0 0 8 8 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 0 8 0 0 8 0 8 0 8 0 8 8 8 8 0 0 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 8 8 8 0 8 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 8 8 0 8 8 0 8 8 8 8 0 0 8 8 0 0 8 8 8 0 8 0 0 0 0 8 8 0 8 8 8 8 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 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+120x^68+8x^69+202x^70+192x^71+836x^72+776x^73+1896x^74+2072x^75+4137x^76+3608x^77+5176x^78+3608x^79+4039x^80+2072x^81+1972x^82+776x^83+730x^84+192x^85+222x^86+8x^87+68x^88+4x^90+25x^92+14x^96+12x^100+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 18.3 seconds.