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 1 1 1 1 1 0 1 1 1 1 1 1 2 1 1 1 1 4 1 1 1 2 1 2 1 8 12 1 2 1 1 2 1 2 4 2 1 0 2 0 2 8 0 6 14 0 8 2 10 0 10 14 0 10 12 14 12 6 8 0 6 10 4 10 12 4 4 2 6 4 14 8 2 0 6 4 14 8 10 12 12 12 4 2 4 2 14 6 12 6 0 6 6 2 4 6 10 12 14 8 14 10 8 0 0 0 0 2 2 0 14 6 8 4 14 14 12 2 6 12 12 10 8 0 10 0 10 4 2 2 12 4 6 12 6 0 2 12 6 2 4 2 14 12 4 14 2 14 6 14 8 8 10 6 2 10 8 14 4 4 14 8 2 2 0 4 14 14 8 0 2 14 14 0 0 0 4 12 12 8 12 12 8 4 8 12 0 12 8 8 8 4 12 8 8 4 12 12 8 4 4 12 0 8 0 0 0 4 12 0 4 4 8 0 0 12 0 8 12 12 4 12 8 4 0 8 8 4 0 4 4 4 8 4 12 4 0 4 12 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+258x^63+166x^64+344x^65+542x^66+474x^67+711x^68+454x^69+436x^70+270x^71+155x^72+142x^73+14x^74+78x^75+17x^76+18x^77+8x^79+5x^80+2x^81+1x^112 The gray image is a code over GF(2) with n=544, k=12 and d=252. This code was found by Heurico 1.16 in 40.5 seconds.