The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 0 1 1 2 12 1 2 1 0 1 2 1 12 1 1 2 1 1 1 0 2 1 1 12 1 0 1 1 1 1 2 1 2 1 1 2 1 2 1 1 1 1 1 1 1 2 1 0 2 12 6 0 6 12 10 0 6 12 10 0 6 12 10 4 10 12 6 6 2 0 10 10 2 6 6 0 2 12 10 10 2 6 0 6 0 12 10 2 10 0 6 2 10 2 12 6 10 10 6 12 10 2 4 10 14 6 4 2 10 12 14 2 12 0 6 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 8 8 0 8 8 8 8 0 8 0 0 0 8 0 8 0 8 8 8 8 8 8 0 8 8 8 8 0 0 8 8 0 0 8 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 8 8 8 0 0 8 8 0 8 0 8 0 8 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 0 0 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 0 0 8 8 8 8 0 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 0 0 8 8 8 0 8 0 8 0 8 0 8 0 0 0 8 0 0 8 8 8 0 0 8 0 8 0 0 0 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 0 8 8 8 0 0 8 0 0 8 0 0 8 0 0 0 8 8 0 8 8 8 0 8 8 0 0 8 0 0 8 8 0 0 8 8 8 8 8 8 0 8 8 8 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 8 8 0 8 8 8 8 0 8 0 8 8 0 0 0 8 8 0 0 8 8 0 0 0 0 8 8 0 8 8 0 8 0 0 8 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 8 0 0 8 0 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 8 8 8 0 8 8 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 8 8 0 0 8 8 0 8 8 0 8 0 0 0 0 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+89x^56+4x^57+96x^58+68x^59+442x^60+196x^61+518x^62+740x^63+1523x^64+2776x^65+2704x^66+5432x^67+3661x^68+5432x^69+2700x^70+2776x^71+1460x^72+740x^73+576x^74+196x^75+348x^76+68x^77+62x^78+4x^79+104x^80+42x^84+7x^88+2x^92+1x^100 The gray image is a code over GF(2) with n=544, k=15 and d=224. This code was found by Heurico 1.16 in 23.9 seconds.