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 1 1 0 1 1 1 8 1 1 1 1 4 1 1 2 1 2 1 2 1 1 1 1 2 1 2 0 4 0 1 0 1 1 2 0 2 0 6 4 6 12 2 0 6 8 14 4 2 4 10 8 2 6 4 6 8 10 12 6 4 2 4 2 0 8 2 6 14 10 2 8 0 2 14 2 4 14 14 4 6 8 0 4 14 14 6 6 0 2 2 8 2 6 2 0 12 0 0 0 12 0 4 0 8 0 4 4 0 4 4 12 0 12 8 4 8 4 4 4 0 0 8 12 4 0 4 12 8 8 8 12 0 12 4 0 12 0 4 8 0 12 12 4 0 8 0 12 12 0 8 4 8 4 12 12 4 8 8 12 4 0 0 0 12 0 8 8 4 4 4 4 0 12 0 4 4 12 0 8 8 4 12 4 0 12 4 4 12 8 0 0 0 8 4 8 0 12 12 8 4 0 12 0 8 8 4 12 12 0 8 8 12 0 4 12 12 12 12 12 0 0 8 8 0 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 0 0 8 8 8 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 8 0 8 0 8 0 8 8 8 8 8 8 8 8 0 8 8 0 generates a code of length 63 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+74x^57+170x^58+228x^59+273x^60+380x^61+768x^62+484x^63+644x^64+354x^65+300x^66+160x^67+92x^68+82x^69+34x^70+20x^71+11x^72+4x^73+6x^74+4x^75+2x^76+2x^77+2x^78+1x^100 The gray image is a code over GF(2) with n=504, k=12 and d=228. This code was found by Heurico 1.16 in 0.685 seconds.