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 2 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 1 1 1 1 1 1 1 1 1 1 1 2 1 0 12 0 0 0 4 12 4 0 0 0 0 4 12 4 12 0 0 0 0 4 12 4 4 4 0 8 12 12 0 12 0 0 4 8 8 8 8 4 12 4 8 8 8 8 12 4 4 4 8 8 12 12 8 8 12 4 8 8 8 8 12 4 12 12 0 8 4 4 0 0 0 0 12 0 4 4 12 0 0 0 4 12 4 12 0 0 8 8 12 4 12 4 8 8 12 8 0 8 4 8 8 12 4 8 8 8 12 12 0 12 12 0 0 4 4 12 4 8 0 8 8 4 0 12 12 8 12 4 4 0 0 4 4 0 8 0 8 4 0 4 8 0 0 0 12 4 0 12 4 8 4 12 8 8 4 12 8 8 4 12 8 8 4 12 8 0 0 4 12 12 12 4 4 0 0 0 12 4 8 8 8 4 8 12 0 12 0 4 4 0 8 4 8 12 12 0 8 12 4 8 0 4 0 12 4 0 0 12 0 4 4 4 generates a code of length 71 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+24x^68+52x^69+100x^70+668x^71+109x^72+44x^73+19x^74+4x^75+2x^76+1x^138 The gray image is a code over GF(2) with n=568, k=10 and d=272. This code was found by Heurico 1.16 in 18.2 seconds.