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 2 2 2 2 2 1 4 2 2 4 1 2 1 1 1 4 0 1 1 1 0 4 1 2 2 8 1 1 1 1 4 2 2 0 2 4 4 1 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 12 8 0 12 4 12 12 4 0 8 0 12 8 4 4 12 4 12 8 0 12 0 12 12 4 8 0 0 12 8 0 4 0 0 8 4 4 8 8 4 0 4 8 0 0 12 12 8 12 4 4 12 4 0 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 0 4 8 0 4 0 4 12 8 4 0 8 4 0 0 4 4 8 4 12 8 12 8 0 12 4 12 12 12 12 8 12 4 12 4 0 0 4 8 4 12 12 8 0 4 12 0 12 0 0 4 8 12 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 0 8 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 0 0 0 0 0 8 8 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 8 0 8 0 0 0 8 0 8 0 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 0 0 0 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 0 8 0 8 0 0 0 8 0 8 8 8 8 0 8 8 8 8 8 0 0 8 0 0 0 8 0 8 8 0 8 0 8 8 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 0 8 0 8 0 8 8 8 0 0 0 8 8 8 0 0 0 0 8 8 0 0 8 8 0 0 8 8 0 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 8 8 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 8 8 8 0 0 8 0 8 0 0 8 8 0 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 0 0 8 8 0 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+82x^56+118x^58+4x^59+434x^60+16x^61+538x^62+104x^63+1202x^64+356x^65+2710x^66+664x^67+5635x^68+880x^69+7214x^70+928x^71+5775x^72+696x^73+2612x^74+324x^75+1229x^76+96x^77+510x^78+24x^79+357x^80+4x^81+110x^82+101x^84+10x^86+19x^88+2x^90+9x^92+4x^96 The gray image is a code over GF(2) with n=560, k=15 and d=224. This code was found by Heurico 1.16 in 30.9 seconds.