The generator matrix 1 0 1 1 1 14 1 1 6 1 8 1 4 1 1 1 1 10 12 1 1 2 1 1 1 8 1 1 6 1 1 0 1 1 1 10 1 1 12 1 1 14 6 1 1 0 1 1 1 1 2 8 1 2 2 1 1 1 1 1 6 1 1 10 0 0 1 1 0 1 11 14 5 1 0 3 1 6 1 13 1 4 15 10 1 1 1 12 9 1 2 7 11 1 8 3 1 5 0 1 14 6 13 1 2 13 1 7 4 1 1 9 5 1 12 8 15 3 2 1 14 4 8 13 15 1 6 14 1 10 7 1 1 2 0 0 0 0 12 4 0 4 12 0 0 8 12 12 4 4 8 0 12 0 0 8 8 4 12 12 12 4 4 0 8 0 8 8 12 8 12 8 4 12 0 12 4 4 0 8 0 0 8 4 0 8 12 4 12 4 12 4 8 12 0 8 4 0 4 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 0 8 0 8 0 0 8 8 8 8 0 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 0 8 0 0 8 8 8 0 8 8 0 0 8 8 0 8 0 8 8 0 0 8 8 8 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 0 0 0 8 0 8 8 8 8 0 0 0 0 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 8 8 0 8 8 0 8 8 8 0 8 8 8 0 0 8 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 8 8 0 8 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 0 8 0 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 8 0 8 0 8 8 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 8 8 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 8 0 0 8 0 8 0 8 8 8 8 0 8 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 0 8 8 0 8 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 0 0 8 0 8 8 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 8 0 0 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+39x^56+4x^57+184x^58+28x^59+486x^60+204x^61+1476x^62+1080x^63+4682x^64+3264x^65+9469x^66+5648x^67+12290x^68+5680x^69+9829x^70+3272x^71+4530x^72+1052x^73+1358x^74+212x^75+403x^76+36x^77+162x^78+71x^80+45x^82+20x^84+5x^86+5x^88+1x^92 The gray image is a code over GF(2) with n=544, k=16 and d=224. This code was found by Heurico 1.16 in 54.6 seconds.