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 2 0 1 1 2 12 1 1 1 2 0 1 2 12 1 1 1 1 0 1 1 2 1 2 1 12 1 1 2 1 1 0 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 12 1 2 1 1 1 1 2 1 1 2 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 10 4 10 6 0 14 8 6 2 12 10 10 2 0 12 6 6 2 0 10 2 10 12 6 10 2 0 10 6 6 10 12 2 12 4 6 10 2 2 2 12 0 8 10 14 6 10 8 6 10 12 6 4 10 2 6 6 4 6 4 2 6 12 6 6 6 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 0 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 8 0 8 8 0 8 8 0 0 0 8 8 0 8 0 8 0 8 0 0 0 8 8 0 0 8 8 8 0 8 8 8 0 0 0 8 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 8 0 0 8 0 8 8 0 8 0 0 8 8 8 8 0 0 8 8 8 8 8 8 8 8 0 8 0 0 8 8 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 8 0 0 8 8 0 0 8 0 8 0 8 0 0 0 0 0 8 8 0 0 0 8 8 0 8 0 8 0 0 8 8 0 8 8 0 0 8 0 8 0 8 8 8 0 8 0 8 0 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 0 8 0 0 8 8 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 8 0 8 8 8 8 0 0 8 0 8 8 8 0 0 0 8 0 0 0 8 8 0 0 8 8 0 0 0 0 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 0 0 0 8 0 8 0 0 0 8 8 8 8 0 0 8 0 8 0 0 0 8 0 8 8 8 0 8 0 0 8 0 8 0 8 0 8 8 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 8 0 0 8 0 8 0 8 0 0 8 0 8 8 8 8 0 8 8 8 0 0 0 8 8 8 0 0 8 0 8 0 8 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 0 0 8 0 8 0 8 generates a code of length 81 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+37x^68+16x^69+92x^70+104x^71+220x^72+306x^73+444x^74+696x^75+878x^76+2058x^77+1569x^78+4836x^79+1919x^80+6500x^81+1901x^82+4816x^83+1602x^84+2068x^85+887x^86+720x^87+338x^88+298x^89+158x^90+88x^91+75x^92+18x^93+39x^94+4x^95+30x^96+22x^98+15x^100+5x^102+4x^104+2x^106+1x^108+1x^114 The gray image is a code over GF(2) with n=648, k=15 and d=272. This code was found by Heurico 1.16 in 30.5 seconds.