The generator matrix 1 0 1 1 1 6 1 1 8 1 14 1 10 1 1 1 1 0 1 0 1 2 1 1 12 1 1 12 1 1 1 14 1 1 1 1 6 1 1 14 1 14 1 1 14 8 1 2 2 0 1 1 1 12 14 1 1 1 1 1 1 2 14 6 1 1 1 0 1 11 6 1 1 0 11 1 6 1 13 1 0 3 5 6 1 15 1 4 1 14 5 1 7 8 1 10 13 0 1 3 9 2 1 1 15 13 1 6 1 13 6 1 1 1 1 1 1 2 10 9 1 1 12 10 11 12 6 5 8 1 1 13 15 14 0 0 12 0 0 0 0 0 0 8 8 4 0 4 12 12 0 4 8 8 4 4 12 8 4 8 8 0 12 4 8 4 4 12 4 4 4 0 8 0 0 12 8 0 0 4 8 0 0 12 12 8 8 12 4 4 8 12 12 4 12 4 8 8 12 12 12 0 0 0 12 0 0 12 8 4 8 12 0 8 0 8 8 12 4 8 12 12 0 0 4 0 4 8 12 4 4 12 0 12 8 12 4 0 0 4 4 8 12 4 4 4 12 0 0 12 0 4 12 12 12 8 0 0 12 12 0 0 8 0 12 12 4 8 0 0 0 0 4 0 0 12 8 0 8 0 0 4 4 12 4 0 0 4 4 8 8 12 12 8 4 4 8 4 4 0 8 4 12 4 12 8 4 0 12 0 8 4 4 4 0 4 0 0 0 8 0 4 8 8 4 8 4 4 0 4 4 12 12 8 8 0 0 0 0 0 8 0 0 8 0 8 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 8 0 8 0 0 8 8 0 8 0 0 0 8 0 0 8 0 0 8 8 0 8 0 8 8 8 8 0 8 8 0 0 8 0 8 0 8 8 8 8 8 0 0 0 0 0 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 0 8 0 8 0 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 0 8 8 8 generates a code of length 67 over Z16 who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+70x^57+155x^58+258x^59+492x^60+926x^61+1765x^62+3134x^63+5070x^64+7088x^65+8828x^66+9900x^67+9163x^68+7036x^69+4938x^70+3126x^71+1736x^72+904x^73+381x^74+192x^75+155x^76+84x^77+50x^78+28x^79+20x^80+18x^81+7x^82+2x^83+2x^84+2x^85+3x^86+1x^88+1x^90 The gray image is a code over GF(2) with n=536, k=16 and d=228. This code was found by Heurico 1.16 in 56 seconds.